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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 11 > Jan. 2025

 

 

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:
Rania Saadeh - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
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
Ahmad Qazza - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

 

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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Authors:
Konstantinos A. Lazopoulos - Independent Researcher, Athens, Greece
Athanassios Pirentis - Independent Researcher, Athens, Greece
Anastassios K. Lazopoulos - Mathematical Sciences Department, Hellenic Army Academy, Vari, Greece

 

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:
Rania Momani - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
Asad Frihat - Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
Mohammed Alabedalhadi - Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
Shrideh Al-Omari - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan

 

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:
Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan
Zainouba Chebana - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
Taki-Eddine Oussaeif - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
Adel Ouannas - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
Sofiane Dehilis - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

 

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:
Mohamed Hannabou - Department of Mathematics and Computer Sciences, Multidisciplinary Faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
Mohamed Bouaouid - Departement of Mathematics, Faculty of Science and Technics, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Khalid Hilal - Departement of Mathematics, Faculty of Science and Technics, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

 

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:
Seham M. Al−Mekhlafi - Mathematics Department, Faculty of Education, Sana’a University, Sana’a, Yemen

 

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:
Tulu Leta Tirfe - Department of Mathematic, Bule Hora University, Bule Hora, Ethiopia
Legesse Lemecha Obsu - Department of Applied Mathematics, Adama Science and Technology Unversity, Adama, Ethiopia
Eshetu Dadi Gurmu - Department of Applied Mathematics, Adama Science and Technology Unversity, Adama, Ethiopia

 

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:
Ahmed A. El-Deeb - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Barakah Almarri - General Studies Department, Jubail Industrial College, 8244 Rd Number 6, Al Huwaylat, Al Jubail 35718, Saudi Arabia

 

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:
Hamzeh Zureigat - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Areen Al-Khateeb - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Shawkat Alkhazaleh - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Belal Batiha - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan

 

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:
Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan
Noureddine Djenina - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
Adel Ouannas - Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

 

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:
Hamzeh Zureigat - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Belal Batiha - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Shawkat Alkhazaleh - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Areen Al-Khateeb - Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan

 

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:
Nandhini Mohankumar - Department of Mathematics, Coimbatore Institute of technology, Tamilnadu, India
Lavanya Rajagopal - Department of Mathematics, Coimbatore Institute of technology, Tamilnadu, India
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

 

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:
Hussam Aljarrah - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
Mohammad Alaroud - Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
Anuar Ishak - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
Maslina Darus - Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Selangor, Malaysia
Shrideh Al-Omari - Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
Mona Khandaqji - Department of Basic Science, Faculty of Arts and Science, Applied Science Private University, Amman 11931, Jordan

 

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:
Edris Ahmad Rawashdeh - Department of Mathematics, Faculty of Sciences, Yarmouk University, Irbid, Jordan
Sharifa Alsharif - Department of Mathematics, Faculty of Sciences, Yarmouk University, Irbid, Jordan

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