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Computational Solutions for Fractional Atangana- Baleanu PDEs: An Exploration of Sawi Transform and Homotopy Perturbation Method, Vol. 11, No. 1 (Jan. 2025), PP:1-17
doi:10.18576/pfda/110101
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Authors: |
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Rania Saadeh - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
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Abdelilah Kamal Sedeeg - Department of Mathematics, Faculty of Science, Albaha University, Albaha P.O Box 1988 Saudi Arabia\\ Department of Mathematics, Faculty of Education, Holy Quran and Islamic Sciences University, Sudan\\ Department of Physics and Mathematics, College of Sciences and Technology, Merowe University of Technology - Abdulatif Alhamad, Merowe, Sudan
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Ahmad Qazza - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
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How to Cite:
Rania Saadeh, Abdelilah Kamal Sedeeg, Ahmad Qazza, Computational Solutions for Fractional Atangana- Baleanu PDEs: An Exploration of Sawi Transform and Homotopy Perturbation Method, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 1-17, 2025, Doi: https://dx.doi.org/10.18576/pfda/110101
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On the Λ -Fractional Rayleigh-Ritz Approximation Method, Vol. 11, No. 1 (Jan. 2025), PP:19-28
doi:10.18576/pfda/110102
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How to Cite:
Konstantinos A. Lazopoulos, Athanassios Pirentis, Anastassios K. Lazopoulos, On the Λ -Fractional Rayleigh-Ritz Approximation Method, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 19-28, 2025, Doi: https://dx.doi.org/10.18576/pfda/110102
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Certain Traveling Wave Solutions for Fractional Extended Nonlinear Schro ̈ dinger Equations, Vol. 11, No. 1 (Jan. 2025), PP:29-43
doi:10.18576/pfda/110103
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Authors: |
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Rania Momani - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
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Asad Frihat - Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
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Mohammed Alabedalhadi - Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
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Shrideh Al-Omari - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
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How to Cite:
Rania Momani, Asad Frihat, Mohammed Alabedalhadi, Shrideh Al-Omari, Certain Traveling Wave Solutions for Fractional Extended Nonlinear Schro ̈ dinger Equations, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 29-43, 2025, Doi: https://dx.doi.org/10.18576/pfda/110103
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Weak Solution, Blow-up and Numerical Study of a Nonlinear Reaction Diffusion Problem with an Integral Condition, Vol. 11, No. 1 (Jan. 2025), PP:45-61
doi:10.18576/pfda/110104
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Authors: |
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Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
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Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan
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Zainouba Chebana - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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Taki-Eddine Oussaeif - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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Adel Ouannas - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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Sofiane Dehilis - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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How to Cite:
Shaher Momani, Iqbal M. Batiha, Zainouba Chebana, Taki-Eddine Oussaeif, Adel Ouannas, Sofiane Dehilis, Weak Solution, Blow-up and Numerical Study of a Nonlinear Reaction Diffusion Problem with an Integral Condition, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 45-61, 2025, Doi: https://dx.doi.org/10.18576/pfda/110104
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Hybrid Fractional Differential Equations with Impulses and Boundary Conditions Involving Integrals and Derivatives, Vol. 11, No. 1 (Jan. 2025), PP:63-72
doi:10.18576/pfda/110105
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Authors: |
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Mohamed Hannabou - Department of Mathematics and Computer Sciences, Multidisciplinary Faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
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Mohamed Bouaouid - Departement of Mathematics, Faculty of Science and Technics, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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Khalid Hilal - Departement of Mathematics, Faculty of Science and Technics, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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How to Cite:
Mohamed Hannabou, Mohamed Bouaouid, Khalid Hilal, Hybrid Fractional Differential Equations with Impulses and Boundary Conditions Involving Integrals and Derivatives, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 63-72, 2025, Doi: https://dx.doi.org/10.18576/pfda/110105
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A Novel Crossover Variable Order (Deterministic- Stochastic) Lung Cancer and Tumor-Immune System Interaction: Numerical Simulations, Vol. 11, No. 1 (Jan. 2025), PP:73-86
doi:10.18576/pfda/110106
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Authors: |
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Seham M. Al−Mekhlafi - Mathematics Department, Faculty of Education, Sana’a University, Sana’a, Yemen
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How to Cite:
Seham M. Al−Mekhlafi, A Novel Crossover Variable Order (Deterministic- Stochastic) Lung Cancer and Tumor-Immune System Interaction: Numerical Simulations, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 73-86, 2025, Doi: https://dx.doi.org/10.18576/pfda/110106
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Mathematical Modeling of Cholera Dynamics and Analysis Using Caputo fractional Operator with Optimal Control, Vol. 11, No. 1 (Jan. 2025), PP:87-117
doi:10.18576/pfda/110107
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Authors: |
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Tulu Leta Tirfe - Department of Mathematic, Bule Hora University, Bule Hora, Ethiopia
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Legesse Lemecha Obsu - Department of Applied Mathematics, Adama Science and Technology Unversity, Adama, Ethiopia
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Eshetu Dadi Gurmu - Department of Applied Mathematics, Adama Science and Technology Unversity, Adama, Ethiopia
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Mohamed Hafez - Faculty of Engineering and Quantity Surveying (FEQS), INTI International University, Nilai, Malaysia
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How to Cite:
Tulu Leta Tirfe, Legesse Lemecha Obsu, Eshetu Dadi Gurmu, Mohamed Hafez, Mathematical Modeling of Cholera Dynamics and Analysis Using Caputo fractional Operator with Optimal Control, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 87-117, 2025, Doi: https://dx.doi.org/10.18576/pfda/110107
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Novel Dynamic Inequalities of Ostrowski-Trapezoid- Gru ̈ ss-type on q-Difference Operator, Vol. 11, No. 1 (Jan. 2025), PP:119-127
doi:10.18576/pfda/110108
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Authors: |
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Ahmed A. El-Deeb - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
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Barakah Almarri - General Studies Department, Jubail Industrial College, 8244 Rd Number 6, Al Huwaylat, Al Jubail 35718, Saudi Arabia
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How to Cite:
Ahmed A. El-Deeb, Barakah Almarri, Novel Dynamic Inequalities of Ostrowski-Trapezoid- Gru ̈ ss-type on q-Difference Operator, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 119-127, 2025, Doi: https://dx.doi.org/10.18576/pfda/110108
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Stability and Uniqueness of Ulam–Hyers for Nonlinear Sequential Fractional Differential Equations with nonseparated Boundary Conditions, Vol. 11, No. 1 (Jan. 2025), PP:129-137
doi:10.18576/pfda/110109
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Authors: |
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Hamzeh Zureigat - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Areen Al-Khateeb - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Shawkat Alkhazaleh - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Belal Batiha - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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How to Cite:
Hamzeh Zureigat, Areen Al-Khateeb, Shawkat Alkhazaleh, Belal Batiha, Stability and Uniqueness of Ulam–Hyers for Nonlinear Sequential Fractional Differential Equations with nonseparated Boundary Conditions, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 129-137, 2025, Doi: https://dx.doi.org/10.18576/pfda/110109
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Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders, Vol. 11, No. 1 (Jan. 2025), PP:139-151
doi:10.18576/pfda/110110
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Authors: |
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Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
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Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan
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Noureddine Djenina - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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Adel Ouannas - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
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How to Cite:
Shaher Momani, Iqbal M. Batiha, Noureddine Djenina, Adel Ouannas, Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 139-151, 2025, Doi: https://dx.doi.org/10.18576/pfda/110110
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A Solution of Fuzzy Time Fractional Diffusion Equation by Modified Natural Daftardar-Jafari Method, Vol. 11, No. 1 (Jan. 2025), PP:153-160
doi:10.18576/pfda/110111
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Authors: |
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Hamzeh Zureigat - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Belal Batiha - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Shawkat Alkhazaleh - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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Areen Al-Khateeb - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
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How to Cite:
Hamzeh Zureigat, Belal Batiha, Shawkat Alkhazaleh, Areen Al-Khateeb, A Solution of Fuzzy Time Fractional Diffusion Equation by Modified Natural Daftardar-Jafari Method, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 153-160, 2025, Doi: https://dx.doi.org/10.18576/pfda/110111
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Dynamics of Mental Disorders Using ψ- Hilfer Fractional Derivative, Vol. 11, No. 1 (Jan. 2025), PP:161-175
doi:10.18576/pfda/110112
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Authors: |
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Nandhini Mohankumar - Department of Mathematics, Coimbatore Institute of technology, Tamilnadu, India
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Lavanya Rajagopal - Department of Mathematics, Coimbatore Institute of technology, Tamilnadu, India
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Juan J. Nieto - CITMAga, Departamento de Estat ́ıstica, Ana ́lise Matema ́tica e Optimizacio ́n, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
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How to Cite:
Nandhini Mohankumar, Lavanya Rajagopal, Juan J. Nieto, Dynamics of Mental Disorders Using ψ- Hilfer Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 161-175, 2025, Doi: https://dx.doi.org/10.18576/pfda/110112
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Laplace Fractional Residual Power Series Scheme for Caputo Time-Schrodinger Fractional Equations, Vol. 11, No. 1 (Jan. 2025), PP:177-198
doi:10.18576/pfda/110113
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Authors: |
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Hussam Aljarrah - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
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Mohammad Alaroud - Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
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Anuar Ishak - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
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Maslina Darus - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
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Shrideh Al-Omari - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
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Mona Khandaqji - Department of Basic Science, Faculty of Arts and Science, Applied Science Private University, Amman 11931, Jordan
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How to Cite:
Hussam Aljarrah, Mohammad Alaroud, Anuar Ishak, Maslina Darus, Shrideh Al-Omari, Mona Khandaqji, Laplace Fractional Residual Power Series Scheme for Caputo Time-Schrodinger Fractional Equations, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 177-198, 2025, Doi: https://dx.doi.org/10.18576/pfda/110113
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Approximating Functions by Fractional Lagrange Polynomials, Vol. 11, No. 1 (Jan. 2025), PP:199-205
doi:10.18576/pfda/110114
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Authors: |
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Edris Ahmad Rawashdeh - Department of Mathematics, Faculty of Sciences, Yarmouk University, Irbid, Jordan
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Sharifa Alsharif - Department of Mathematics, Faculty of Sciences, Yarmouk University, Irbid, Jordan
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How to Cite:
Edris Ahmad Rawashdeh, Sharifa Alsharif, Approximating Functions by Fractional Lagrange Polynomials, Progress in Fractional Differentiation and Applications, Vol. 11, No. 1, pp: 199-205, 2025, Doi: https://dx.doi.org/10.18576/pfda/110114
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