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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Vol. 9 > Oct. 2023

 

 

Mathematical Epidemiology: A Review of the Singular and Non-Singular Kernels and their Applications, Vol. 9, No. 4 (Oct. 2023), PP:507-544

doi:10.18576/pfda/090401

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Authors:
Kottakkaran Sooppy Nisar - Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia
Muhammad Farman - Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan\\ Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Mahmoud Abdel-Aty - Deanship of Graduate Studies and Research, Ahlia University, Manama, Kingdom of Bahrain\\ Mathematics Department, Sohag University, Egypt
Jinde Cao - School of Mathematics, Southeast University, Nanjing 210096, China.\\ Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea

 

Two New Quadratic Scheme for Fractional Differential Equation with World Population Growth Model, Vol. 9, No. 4 (Oct. 2023), PP:545-564

doi:10.18576/pfda/090402

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Authors:
Pawan Kumar Shaw - Centre for Data Science, ITER, Siksha O Anusandhan (Deemed to be University), Bhubaneswar, India
Sunil Kumar - Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia\\ Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India
Shaher Momani - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan
Samir Hadid - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE

 

Study of a Continuous Fractional-Order Dynamical System of Fibrosis of Liver, Vol. 9, No. 4 (Oct. 2023), PP:565-575

doi:10.18576/pfda/090403

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Authors:
Min Wang - Department of Mathematics and Physics, Mianyang Teachers’College, Mianyang, Sichuan, 621050, China
Sana Tahir - Department of Mathematics, University of Malakand, Chakadara Dir (Lower), 18800, KPK, Pakistan
Hafsa Naz - Department of Mathematics, University of Malakand, Chakadara Dir (Lower), 18800, KPK, Pakistan
Mohammed A. El-Shorbagy - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia\\ Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
Mati ur Rahman - School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P.R. China

 

Analytical Solution of ψ Fractional Initial Value Problems, Vol. 9, No. 4 (Oct. 2023), PP:577-587

doi:10.18576/pfda/090404

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Authors:
Gunvant A Birajdar - Department of Mathematics, Institute of Chemical Technology, Mumbai 400 019, (M.S) India
Pravinkumar Dole - Department of Mathematics, Dr Babasaheb Ambedkar Marathwada University, Aurangabad 431004 (M.S) India
Emile Franc Doungmo Goufo - Department of Mathematical Sciences, University of South Africa, 0003 Florida, South Africa

 

New Results by Using Advanced Definition of Fractional Derivative Without Singular Kernel, Vol. 9, No. 4 (Oct. 2023), PP:589-595

doi:10.18576/pfda/090405

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Authors:
Laxmi Morya - School of Mathematics and Allied Sciences, (SMS Govt. Science College) Jiwaji University, Gwalior, India
Manoj Sharma - Department of Mathematics RJIT,BSF Academy, Tekanpur Gwalior, India
Rajshree Mishra - Department of Mathematics, SMS Govt. Science College, Jiwaji University Gwalior (M.P.),India

 

Parametrized Hyperbolic Tangent Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation., Vol. 9, No. 4 (Oct. 2023), PP:597-621

doi:10.18576/pfda/090406

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
Seda Karateke - Department of Computer Engineering, Faculty of Engineering, Istanbul Aydin University, 34295, Istanbul, Turkey

 

A Coinfection Malaria and COVID-19 Model: The Conformable–Order Derivative Analysis, Vol. 9, No. 4 (Oct. 2023), PP:623-638

doi:10.18576/pfda/090407

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Authors:
Francis Ohene Boateng - Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana

 

Inverse Problems for a Time-Fractional Diffusion Equation with Unknown Right-Hand Side, Vol. 9, No. 4 (Oct. 2023), PP:639-653

doi:10.18576/pfda/090408

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Authors:
Durdimurod K. Durdiev - Bukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, 100170, Uzbekistan
Murat A. Sultanov - Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
Askar A. Rahmonov - V.I. Romanovskii Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, 100174, Uzbekistan
Yerkebulan Nurlanuly - Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan

 

Importance of RG Transform and Its Various Applications, Vol. 9, No. 4 (Oct. 2023), PP:655-663

doi:10.18576/pfda/090409

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Authors:
Abdel Maksoud Soliman - Department of Mathematics, Faculty of Science, Arish University, Egypt\\ Academy of Scientific Research and Technology (ASRT), Cairo, Egypt
Kamal Raslan - Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Ahmed Abdallah - Department of Basic Science, Higher Technological Institute, Tenth of Ramadan, Egypt

 

On the Fractional Differential Equations Associated with Integral Operator Involving Aleph Function in the Kernel, Vol. 9, No. 4 (Oct. 2023), PP:665-679

doi:10.18576/pfda/090410

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Authors:
Yudhveer Singh - Amity Institute of Information Technology, Amity University Rajasthan, Jaipur-303002, Rajasthan, India
Vinod Gill - Department of Mathematics, Govt. College Nalwa, Hisar-125037, Haryana, India
Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Monika Jain - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Devendra Kumar - Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

 

Analysis of Fractional Differential Equations with Antagana-Baleanu Fractional Operator, Vol. 9, No. 4 (Oct. 2023), PP:681-686

doi:10.18576/pfda/090411

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Authors:
Mohammed Abdulshareef Hussein - Educational Directrate of Thi-Qar, Nasiryah, Iraq\\ Educational Directrate of Thi-Qar, Alayen University, Nasiryah, Iraq\\ College of Technical Engineering, National University of Science and Technology, Thi Qar, Iraq
Hassan Kamil Jassim - Department of Mathematics, University of Thi-Qar, Nasiryah, Iraq

 

Error Analysis of the Generalized Jacobi Galerkin Method in Nonlinear Fractional Differential Equations, Vol. 9, No. 4 (Oct. 2023), PP:687-700

doi:10.18576/pfda/090412

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Authors:
Payam Mokhtary - Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Farideh Ghoreishi - Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran

 

On Ramadan Group Transform of Fractional Derivatives: Definitions, Properties, and its Applications to Fractional Differential Equations, Vol. 9, No. 4 (Oct. 2023), PP:701-708

doi:10.18576/pfda/090413

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Authors:
Heba M. Arafa - Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt
Mohamed A. Ramadan - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, Shebein El Kom, Egypt
Majeed A. A. S. Amini - Department of Mathematics, Arts and Science College, Ahlia University, Kingdom of Bahrain

 

The Time Evolution of the Random Genetic Drift Equation and the Computational Proof of Galton’s Theory, Vol. 9, No. 4 (Oct. 2023), PP:709-726

doi:10.18576/pfda/090414

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Authors:
Entsar Ahmed Abdel-Rehim - Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt
Radwa Mohamed Hassan - Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt
Ahmed Mohamed Ahmed El-Sayed - Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

 

Fractional Stochastic Modelling of an Investment Model, Vol. 9, No. 4 (Oct. 2023), PP:727-744

doi:10.18576/pfda/090415

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Authors:
Ebenezer Bonyah - Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana\\ Department of Mathematics and Applied Mathematics, University of Johannesburg, Johannesburg 2006, South Africa

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