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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 10 > Oct. 2024

 

 

Analysis of Burger Equation Using HPM with General Fractional Derivative, Vol. 10, No. 4 (Oct. 2024), PP:523-535

doi:10.18576/pfda/100401

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Authors:
Sachin Kumar - Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, India
Manvendra Narayan Mishra - Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, India
Ravi Shanker Dubey - Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India

 

Regional Fractional Optimal Control Problem of a Bilinear Reaction Diffusion Equation Using Distributed Bounded Controls, Vol. 10, No. 4 (Oct. 2024), PP:537-544

doi:10.18576/pfda/100402

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Authors:
Abella El Kabouss - Faculty of Economics and Management-Guelmim, Ibn Zohr University, Morocco
Abdelhak Bouhamed - LISTI, National School of Applied Sciences, Ibn Zohr University, Morocco

 

A Hybrid Technique for Space-Time Fractional Parabolic Differential Equations, Vol. 10, No. 4 (Oct. 2024), PP:545-555

doi:10.18576/pfda/100403

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Authors:
Nasser H. Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Waleed Abdel Kareem - Department of Mathematics, Faculty of Science, Suez University, Suez, Egypt
Muner M. Abou Hasan - School of Mathematics and Data Science, Emirates Aviation University, Dubai, UAE
Taha H. El-Ghareeb - Department of Mathematics, Faculty of science, Suez University, Suez Egypt
Toba M. Soliman - The Higher Institute for Computer Science and Information System, Fifth Settlement, Cairo, Egypt

 

Integral Inequalities Involving New Conformable Derivatives, Vol. 10, No. 4 (Oct. 2024), PP:557-568

doi:10.18576/pfda/100404

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

 

Towards Proportional Fractional Calculus and Inequalities, Vol. 10, No. 4 (Oct. 2024), PP:569-586

doi:10.18576/pfda/100405

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

 

Exploring the New Analytical Wave Solutions for M-Fractional Stochastic Nizhnik-Novikov-Veselov System by an Efficient Analytical Technique, Vol. 10, No. 4 (Oct. 2024), PP:587-600

doi:10.18576/pfda/100406

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Authors:
Asim Zafar - Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan
Marwan Abukhaled - Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates
Muhammad Raheel - Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan
Khalid K. Ali - Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt
Ahmet Bekir - Neighbourhood of Akcagan, Imarli Street, Number:28/4, 26030, Eskisehir-Turkey
Omar Abu Arqub - Department of Mathematics, Faculty of Sciences, Al-Balqa Applied University, Al-Salt, Jordan

 

Two Numerical Approaches for Solving Fractional Model of Chemical Kinetics Problem via Chebyshev Polynomials, Vol. 10, No. 4 (Oct. 2024), PP:601-613

doi:10.18576/pfda/100407

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Authors:
Lakhlifa Sadek - Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Te ́touan, Morocco

 

Variable-Order Hybrid COVID-19 Mathematical Model with Time Delay; Numerical Treatments, Vol. 10, No. 4 (Oct. 2024), PP:615-626

doi:10.18576/pfda/100408

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Authors:
Nasser Hassan Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Afaf Saleh Zaghrout - Department of Mathematics, Faculty of Science, Al-Azhar University (Girls Branch), Egypt\\ Computer Center, Faculty of Science, Al-Azhar University (Girls Branch), Egypt
Nagma Younes Ali - Department of Mathematics, Faculty of Science, Al-Azhar University (Girls Branch), Egypt

 

The Integrals of Fractional Operators with Non-Singular Kernels: A Conceptual Approach, Formulations, and Normalization Functions, Vol. 10, No. 4 (Oct. 2024), PP:627-662

doi:10.18576/pfda/100409

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Authors:
Jordan Hristov - Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, Bulgaria

 

A Variant of Accelerated Ramadan Group Adomian Decomposition Method for Numerical Solution of Fractional Riccati Differential Equations, Vol. 10, No. 4 (Oct. 2024), PP:663-675

doi:10.18576/pfda/100410

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Authors:
Ahmed Abdelaziz Elsayed - Dubai, United Arab Emirates

 

Existence of Solution for a Dirichlet Problem with Tempered Fractional Derivatives, Vol. 10, No. 4 (Oct. 2024), PP:677-694

doi:10.18576/pfda/100411

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Authors:
Ce ́sar E. Torres Ledesma - Instituto de Investigacio ́n en Matema ́ticas, Facultad de Ciencias F ́ısicas y Matema ́ticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n. Trujillo-Peru ́
Nemat Nyamoradi - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
Oliverio P. Diestra - ECU Consultores en Educacio ́n, Trujillo, Peru\\ Universidad Nacional Agraria la Molina, Lima, Peru

 

Solution of Conformable Volterra’s Population Growth Model via Analytical and Numerical Approaches, Vol. 10, No. 4 (Oct. 2024), PP:695-706

doi:10.18576/pfda/100412

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Authors:
Shatha Hasan - Ajloun College, Al-Balqa Applied University

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