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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 9 > Jan. 2023

 

 

Landau Type ψ-Hilfer Fractional Inequalities, Vol. 9, No. 01 (Jan. 2023), PP:1-15

doi:10.18576/pfda/090101

for Subscribers only

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

 

p-Schatten norm generalized fractional Ostrowski and Gru ̈ ss type inequalities involving several functions, Vol. 9, No. 01 (Jan. 2023), PP:17-40

doi:10.18576/pfda/090102

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

 

A General Fractional-Order Viral Infection Model with Cell-to-Cell Transmission and Adaptive Immunity, Vol. 9, No. 01 (Jan. 2023), PP:41-63

doi:10.18576/pfda/090103

for Subscribers only

Authors:
Adnane Boukhouima - Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco
El Mehdi Lotfi - Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco
Marouane Mahrouf - Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco
Noura Yousfi - Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco
Toshikazu Kuniya - /var/folders/wb/vsrj5h6d5qd81ws0y6yxcfm40000gn/T/com.apple.Preview/com.apple.Preview.PasteboardItems/090103 (dragged).pdf

 

On the Explicit Solution of ψ-Hilfer Integro-Differential Nonlocal Cauchy Problem, Vol. 9, No. 01 (Jan. 2023), PP:65-77

doi:10.18576/pfda/090104

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Authors:
Mohammed A. Almalahi - Department of Mathematics, Hajjah University, Hajjah, Yemen
Satish K. Panchal - Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S),431001, India
Khaled Aldwoah - Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia
Mansour Lotayif - College of Administrative Sciences, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of Bahrain

 

Existence and Continuity of Solutions of Systems of Fractional Differential Equations, Vol. 9, No. 01 (Jan. 2023), PP:79-89

doi:10.18576/pfda/090105

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Authors:
Santiago Guadalupe - Department of Mathematics, Faculty of Engineering, Buenos Aires University, Buenos Aires, Argentina
Mar ́ıa Ine ́s Troparevsky - Department of Mathematics, Faculty of Engineering, Buenos Aires University, Buenos Aires, Argentina

 

Generalized Fractional Calculus of the Incomplete Generalized Wright Function, Vol. 9, No. 01 (Jan. 2023), PP:91-98

doi:10.18576/pfda/090106

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Authors:
Dharmendra Kumar Singh - Department of Mathematics, University Institute of Engineering and Technology, CSJM University, Kanpur-208024
Vijay Laxmi Verma - Department of Mathematics University Institute of Engineering and Technology, Kanpur-208024

 

Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative, Vol. 9, No. 01 (Jan. 2023), PP:99-106

doi:10.18576/pfda/090107

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Authors:
Shabir Ahmad - Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan
Aman Ullah - Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan
Ali Akgu ̈l - Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon\\ Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey\\ Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 – Turkey
Hilal Al Bayatti - College of Computer Sciences, Applied Science University, P.O. Box 5055, Kingdom of Bahrain

 

Well-Posedness of General Time-Fractional Diffusion Equations Involving Atangana-Baleanu Derivative, Vol. 9, No. 01 (Jan. 2023), PP:107-117

doi:10.18576/pfda/090108

for Subscribers only

Authors:
Soraya Abdelaziz - Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Nabil Shawagfeh - Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Mohammed Al-Refai - Department of Mathematics,Yarmouk University, Irbid, Jordan

 

Theoretical and Computational Aspects of Fractional Hybrid Differential Equations, Vol. 9, No. 01 (Jan. 2023), PP:119-133

doi:10.18576/pfda/090109

for Subscribers only

Authors:
Habibulla Akhadkulov - School of Quantitative Sciences, University Utara Malaysia, CAS 06010, UUM Sintok, Kedah Darul Aman, Malaysia\\ Department of General and Exact Sciences, Tashkent State University of Economics, 49 Uzbekistan shoh ko’chasi, Tashkent 100003, Uzbekistan
Ali Fareed Jameel - Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman
Teh Yuan Ying - School of Quantitative Sciences, University Utara Malaysia, CAS 06010, UUM Sintok, Kedah Darul Aman, Malaysia
Sokhobiddin Akhatkulov - Faculty of Digital Technologies, Samarkand State University, Boulevard st. 15, 140104 Samarkand, Uzbekistan
Abdel-Karrem Alomari - Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, 21163, Jordan
Dulfikar Jawad Hashim - National University of Science And Technology, Dhi Qar, Iraq

 

Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function, Vol. 9, No. 01 (Jan. 2023), PP:135-143

doi:10.18576/pfda/090110

for Subscribers only

Authors:
Daya Lal Suthar - Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia
Biniyam Shimelis - Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia
Faruk Ucar - Department of Mathematics, Marmara University, TR-34722, Kadıko ̈y, Istanbul, Turkey of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, (India)
Sunil Dutt Purohit - Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, India

 

Asymptotic Behavior for Fractional Systems with Lower-Order Fractional Derivatives, Vol. 9, No. 01 (Jan. 2023), PP:145-166

doi:10.18576/pfda/090111

for Subscribers only

Authors:
Mohammed D. Kassim - Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 34151, Saudi Arabia
Nasser-Eddine Tatar - Department of Mathematics, King Fahd University of Petroleum and Minerals, Interdisciplinary Research Center for Intelligent Manufacturing and Robotics, Dhahran 31261, Saudi Arabia

 

Approximate Solutions of Fuzzy Fractional Differential Equations via Homotopy Analysis Method, Vol. 9, No. 01 (Jan. 2023), PP:167-187

doi:10.18576/pfda/090112

for Subscribers only

Authors:
Dulfikar Jawad Hashim - School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia (UUM), Kedah, Sintok, 06010 Malaysia
Ali Fareed Jameel - Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman\\ Institute of Strategic Industrial Decision Modelling (ISIDM), School of Quantitative Sciences (SQS), Universiti Utara, Malaysia (UUM), Kedah, Sintok, 06010, Malaysia
Teh Yuan Ying - School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia (UUM), Kedah, Sintok, 06010 Malaysia

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