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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: |
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Sachin Kumar - Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, India
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Manvendra Narayan Mishra - Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, India
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Ravi Shanker Dubey - Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India
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How to Cite:
Sachin Kumar, Manvendra Narayan Mishra, Ravi Shanker Dubey, Analysis of Burger Equation Using HPM with General Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 523-535, 2024, Doi: https://dx.doi.org/10.18576/pfda/100401
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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: |
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Abella El Kabouss - Faculty of Economics and Management-Guelmim, Ibn Zohr University, Morocco
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Abdelhak Bouhamed - LISTI, National School of Applied Sciences, Ibn Zohr University, Morocco
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How to Cite:
Abella El Kabouss, Abdelhak Bouhamed, Regional Fractional Optimal Control Problem of a Bilinear Reaction Diffusion Equation Using Distributed Bounded Controls, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 537-544, 2024, Doi: https://dx.doi.org/10.18576/pfda/100402
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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: |
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Nasser H. Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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Waleed Abdel Kareem - Department of Mathematics, Faculty of Science, Suez University, Suez, Egypt
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Muner M. Abou Hasan - School of Mathematics and Data Science, Emirates Aviation University, Dubai, UAE
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Taha H. El-Ghareeb - Department of Mathematics, Faculty of science, Suez University, Suez Egypt
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Toba M. Soliman - The Higher Institute for Computer Science and Information System, Fifth Settlement, Cairo, Egypt
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How to Cite:
Nasser H. Sweilam, Waleed Abdel Kareem, Muner M. Abou Hasan, Taha H. El-Ghareeb, Toba M. Soliman, A Hybrid Technique for Space-Time Fractional Parabolic Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 545-555, 2024, Doi: https://dx.doi.org/10.18576/pfda/100403
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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: |
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George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
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How to Cite:
George A. Anastassiou, Integral Inequalities Involving New Conformable Derivatives, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 557-568, 2024, Doi: https://dx.doi.org/10.18576/pfda/100404
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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: |
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George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
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How to Cite:
George A. Anastassiou, Towards Proportional Fractional Calculus and Inequalities, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 569-586, 2024, Doi: https://dx.doi.org/10.18576/pfda/100405
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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: |
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Asim Zafar - Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan
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Marwan Abukhaled - Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates
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Muhammad Raheel - Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan
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Khalid K. Ali - Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt
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Ahmet Bekir - Neighbourhood of Akcagan, Imarli Street, Number:28/4, 26030, Eskisehir-Turkey
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Omar Abu Arqub - Department of Mathematics, Faculty of Sciences, Al-Balqa Applied University, Al-Salt, Jordan
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How to Cite:
Asim Zafar, Marwan Abukhaled, Muhammad Raheel, Khalid K. Ali, Ahmet Bekir, Omar Abu Arqub, Exploring the New Analytical Wave Solutions for M-Fractional Stochastic Nizhnik-Novikov-Veselov System by an Efficient Analytical Technique, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 587-600, 2024, Doi: https://dx.doi.org/10.18576/pfda/100406
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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: |
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Lakhlifa Sadek - Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Te ́touan, Morocco
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How to Cite:
Lakhlifa Sadek, Two Numerical Approaches for Solving Fractional Model of Chemical Kinetics Problem via Chebyshev Polynomials, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 601-613, 2024, Doi: https://dx.doi.org/10.18576/pfda/100407
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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: |
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Nasser Hassan Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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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
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Nagma Younes Ali - Department of Mathematics, Faculty of Science, Al-Azhar University (Girls Branch), Egypt
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How to Cite:
Nasser Hassan Sweilam, Afaf Saleh Zaghrout, Nagma Younes Ali, Variable-Order Hybrid COVID-19 Mathematical Model with Time Delay; Numerical Treatments, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 615-626, 2024, Doi: https://dx.doi.org/10.18576/pfda/100408
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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: |
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Jordan Hristov - Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
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How to Cite:
Jordan Hristov, The Integrals of Fractional Operators with Non-Singular Kernels: A Conceptual Approach, Formulations, and Normalization Functions, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 627-662, 2024, Doi: https://dx.doi.org/10.18576/pfda/100409
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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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How to Cite:
Ahmed Abdelaziz Elsayed, A Variant of Accelerated Ramadan Group Adomian Decomposition Method for Numerical Solution of Fractional Riccati Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 663-675, 2024, Doi: https://dx.doi.org/10.18576/pfda/100410
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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: |
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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 ́
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Nemat Nyamoradi - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
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Oliverio P. Diestra - ECU Consultores en Educacio ́n, Trujillo, Peru\\ Universidad Nacional Agraria la Molina, Lima, Peru
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How to Cite:
Ce ́sar E. Torres Ledesma, Nemat Nyamoradi, Oliverio P. Diestra, Existence of Solution for a Dirichlet Problem with Tempered Fractional Derivatives, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 677-694, 2024, Doi: https://dx.doi.org/10.18576/pfda/100411
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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: |
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Shatha Hasan - Ajloun College, Al-Balqa Applied University
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How to Cite:
Shatha Hasan, Solution of Conformable Volterra’s Population Growth Model via Analytical and Numerical Approaches, Progress in Fractional Differentiation and Applications, Vol. 10, No. 4, pp: 695-706, 2024, Doi: https://dx.doi.org/10.18576/pfda/100412
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