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Mathematical Epidemiology: A Review of the Singular and Non-Singular Kernels and their Applications, Vol. 09, No. 4 (Oct. 2023), PP:507-544
doi:10.18576/pfda/090401
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Authors: |
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Kottakkaran Sooppy Nisar - Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia
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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
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Mahmoud Abdel-Aty - Deanship of Graduate Studies and Research, Ahlia University, Manama, Kingdom of Bahrain\\ Mathematics Department, Sohag University, Egypt
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Jinde Cao - School of Mathematics, Southeast University, Nanjing 210096, China.\\ Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea
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How to Cite:
Kottakkaran Sooppy Nisar, Muhammad Farman, Mahmoud Abdel-Aty, Jinde Cao, Mathematical Epidemiology: A Review of the Singular and Non-Singular Kernels and their Applications, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 507-544, 2023, Doi: https://dx.doi.org/10.18576/pfda/090401
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Two New Quadratic Scheme for Fractional Differential Equation with World Population Growth Model, Vol. 09, No. 4 (Oct. 2023), PP:545-564
doi:10.18576/pfda/090402
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Authors: |
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Pawan Kumar Shaw - Centre for Data Science, ITER, Siksha O Anusandhan (Deemed to be University), Bhubaneswar, India
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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
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Shaher Momani - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan
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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
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How to Cite:
Pawan Kumar Shaw, Sunil Kumar, Shaher Momani, Samir Hadid, Two New Quadratic Scheme for Fractional Differential Equation with World Population Growth Model, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 545-564, 2023, Doi: https://dx.doi.org/10.18576/pfda/090402
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Study of a Continuous Fractional-Order Dynamical System of Fibrosis of Liver, Vol. 09, No. 4 (Oct. 2023), PP:565-575
doi:10.18576/pfda/090403
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Authors: |
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Min Wang - Department of Mathematics and Physics, Mianyang Teachers’College, Mianyang, Sichuan, 621050, China
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Sana Tahir - Department of Mathematics, University of Malakand, Chakadara Dir (Lower), 18800, KPK, Pakistan
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Hafsa Naz - Department of Mathematics, University of Malakand, Chakadara Dir (Lower), 18800, KPK, Pakistan
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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
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Mati ur Rahman - School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P.R. China
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How to Cite:
Min Wang, Sana Tahir, Hafsa Naz, Mohammed A. El-Shorbagy, Mati ur Rahman, Study of a Continuous Fractional-Order Dynamical System of Fibrosis of Liver, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 565-575, 2023, Doi: https://dx.doi.org/10.18576/pfda/090403
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Analytical Solution of ψ Fractional Initial Value Problems, Vol. 09, No. 4 (Oct. 2023), PP:577-587
doi:10.18576/pfda/090404
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Authors: |
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Gunvant A Birajdar - Department of Mathematics, Institute of Chemical Technology, Mumbai 400 019, (M.S) India
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Pravinkumar Dole - Department of Mathematics, Dr Babasaheb Ambedkar Marathwada University, Aurangabad 431004 (M.S) India
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Emile Franc Doungmo Goufo - Department of Mathematical Sciences, University of South Africa, 0003 Florida, South Africa
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How to Cite:
Gunvant A Birajdar, Pravinkumar Dole, Emile Franc Doungmo Goufo, Analytical Solution of ψ Fractional Initial Value Problems, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 577-587, 2023, Doi: https://dx.doi.org/10.18576/pfda/090404
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New Results by Using Advanced Definition of Fractional Derivative Without Singular Kernel, Vol. 09, No. 4 (Oct. 2023), PP:589-595
doi:10.18576/pfda/090405
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Authors: |
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Laxmi Morya - School of Mathematics and Allied Sciences, (SMS Govt. Science College) Jiwaji University, Gwalior, India
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Manoj Sharma - Department of Mathematics RJIT,BSF Academy, Tekanpur Gwalior, India
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Rajshree Mishra - Department of Mathematics, SMS Govt. Science College, Jiwaji University Gwalior (M.P.),India
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How to Cite:
Laxmi Morya, Manoj Sharma, Rajshree Mishra, New Results by Using Advanced Definition of Fractional Derivative Without Singular Kernel, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 589-595, 2023, Doi: https://dx.doi.org/10.18576/pfda/090405
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Parametrized Hyperbolic Tangent Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation., Vol. 09, No. 4 (Oct. 2023), PP:597-621
doi:10.18576/pfda/090406
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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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Seda Karateke - Department of Computer Engineering, Faculty of Engineering, Istanbul Aydin University, 34295, Istanbul, Turkey
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How to Cite:
George A. Anastassiou, Seda Karateke, Parametrized Hyperbolic Tangent Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation., Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 597-621, 2023, Doi: https://dx.doi.org/10.18576/pfda/090406
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A Coinfection Malaria and COVID-19 Model: The Conformable–Order Derivative Analysis, Vol. 09, No. 4 (Oct. 2023), PP:623-638
doi:10.18576/pfda/090407
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Authors: |
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Francis Ohene Boateng - Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana
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How to Cite:
Francis Ohene Boateng, A Coinfection Malaria and COVID-19 Model: The Conformable–Order Derivative Analysis, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 623-638, 2023, Doi: https://dx.doi.org/10.18576/pfda/090407
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Inverse Problems for a Time-Fractional Diffusion Equation with Unknown Right-Hand Side, Vol. 09, No. 4 (Oct. 2023), PP:639-653
doi:10.18576/pfda/090408
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Authors: |
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Durdimurod K. Durdiev - Bukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, 100170, Uzbekistan
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Murat A. Sultanov - Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
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Askar A. Rahmonov - V.I. Romanovskii Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, 100174, Uzbekistan
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Yerkebulan Nurlanuly - Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
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How to Cite:
Durdimurod K. Durdiev, Murat A. Sultanov, Askar A. Rahmonov, Yerkebulan Nurlanuly, Inverse Problems for a Time-Fractional Diffusion Equation with Unknown Right-Hand Side, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 639-653, 2023, Doi: https://dx.doi.org/10.18576/pfda/090408
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Importance of RG Transform and Its Various Applications, Vol. 09, No. 4 (Oct. 2023), PP:655-663
doi:10.18576/pfda/090409
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Authors: |
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Abdel Maksoud Soliman - Department of Mathematics, Faculty of Science, Arish University, Egypt\\ Academy of Scientific Research and Technology (ASRT), Cairo, Egypt
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Kamal Raslan - Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
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Ahmed Abdallah - Department of Basic Science, Higher Technological Institute, Tenth of Ramadan, Egypt
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How to Cite:
Abdel Maksoud Soliman, Kamal Raslan, Ahmed Abdallah, Importance of RG Transform and Its Various Applications, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 655-663, 2023, Doi: https://dx.doi.org/10.18576/pfda/090409
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On the Fractional Differential Equations Associated with Integral Operator Involving Aleph Function in the Kernel, Vol. 09, No. 4 (Oct. 2023), PP:665-679
doi:10.18576/pfda/090410
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Authors: |
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Yudhveer Singh - Amity Institute of Information Technology, Amity University Rajasthan, Jaipur-303002, Rajasthan, India
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Vinod Gill - Department of Mathematics, Govt. College Nalwa, Hisar-125037, Haryana, India
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Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
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Monika Jain - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
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Devendra Kumar - Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
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How to Cite:
Yudhveer Singh, Vinod Gill, Jagdev Singh, Monika Jain, Devendra Kumar, On the Fractional Differential Equations Associated with Integral Operator Involving Aleph Function in the Kernel, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 665-679, 2023, Doi: https://dx.doi.org/10.18576/pfda/090410
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Analysis of Fractional Differential Equations with Antagana-Baleanu Fractional Operator, Vol. 09, No. 4 (Oct. 2023), PP:681-686
doi:10.18576/pfda/090411
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Authors: |
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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
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Hassan Kamil Jassim - Department of Mathematics, University of Thi-Qar, Nasiryah, Iraq
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How to Cite:
Mohammed Abdulshareef Hussein, Hassan Kamil Jassim, Analysis of Fractional Differential Equations with Antagana-Baleanu Fractional Operator, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 681-686, 2023, Doi: https://dx.doi.org/10.18576/pfda/090411
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Error Analysis of the Generalized Jacobi Galerkin Method in Nonlinear Fractional Differential Equations, Vol. 09, No. 4 (Oct. 2023), PP:687-700
doi:10.18576/pfda/090412
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Authors: |
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Payam Mokhtary - Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
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Farideh Ghoreishi - Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
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How to Cite:
Payam Mokhtary, Farideh Ghoreishi, Error Analysis of the Generalized Jacobi Galerkin Method in Nonlinear Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 687-700, 2023, Doi: https://dx.doi.org/10.18576/pfda/090412
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On Ramadan Group Transform of Fractional Derivatives: Definitions, Properties, and its Applications to Fractional Differential Equations, Vol. 09, No. 4 (Oct. 2023), PP:701-708
doi:10.18576/pfda/090413
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Authors: |
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Heba M. Arafa - Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt
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Mohamed A. Ramadan - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, Shebein El Kom, Egypt
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Majeed A. A. S. Amini - Department of Mathematics, Arts and Science College, Ahlia University, Kingdom of Bahrain
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How to Cite:
Heba M. Arafa, Mohamed A. Ramadan, Majeed A. A. S. Amini, On Ramadan Group Transform of Fractional Derivatives: Definitions, Properties, and its Applications to Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 701-708, 2023, Doi: https://dx.doi.org/10.18576/pfda/090413
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The Time Evolution of the Random Genetic Drift Equation and the Computational Proof of Galton’s Theory, Vol. 09, No. 4 (Oct. 2023), PP:709-726
doi:10.18576/pfda/090414
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Authors: |
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Entsar Ahmed Abdel-Rehim - Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt
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Radwa Mohamed Hassan - Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt
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Ahmed Mohamed Ahmed El-Sayed - Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt
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How to Cite:
Entsar Ahmed Abdel-Rehim, Radwa Mohamed Hassan, Ahmed Mohamed Ahmed El-Sayed, The Time Evolution of the Random Genetic Drift Equation and the Computational Proof of Galton’s Theory, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 709-726, 2023, Doi: https://dx.doi.org/10.18576/pfda/090414
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Fractional Stochastic Modelling of an Investment Model, Vol. 09, No. 4 (Oct. 2023), PP:727-744
doi:10.18576/pfda/090415
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Authors: |
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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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How to Cite:
Ebenezer Bonyah, Fractional Stochastic Modelling of an Investment Model, Progress in Fractional Differentiation and Applications, Vol. 09, No. 4, pp: 727-744, 2023, Doi: https://dx.doi.org/10.18576/pfda/090415
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