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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 8 > Jan. 2022

 

 

Multidimensional Fractional Iyengar Type Inequalities for Radial Functions, Vol. 8, No. 1 (Jan. 2022), PP:1-38

doi:10.18576/pfda/080101

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

 

Inverse Source Problems for Degenerate Time-Fractional PDE, Vol. 8, No. 1 (Jan. 2022), PP:39-52

doi:10.18576/pfda/080102

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Authors:
Nasser Al-Salti - Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman\\ Frac. Diff. Research Group (DR/RG/03), Sultan Qaboos University, Muscat, Oman
Erkinjon Karimov - Frac. Diff. Research Group (DR/RG/03), Sultan Qaboos University, Muscat, Oman\\ V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent-100170, Uzbekistan

 

The Drug Administration via Fractional-order PIλ Dδ -Controller, Vol. 8, No. 1 (Jan. 2022), PP:53-62

doi:10.18576/pfda/080103

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Authors:
Reyad El-Khazali - ECSE Department, Khalifa University, Abu-Dhabi, UAE
Iqbal M. Batiha - Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE
Shaher Momani - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE\\ Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

 

Fractional-Order Delayed Salmonella Transmission Model: A Numerical Simulation, Vol. 8, No. 1 (Jan. 2022), PP:63-76

doi:10.18576/pfda/080104

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Authors:
Nasser H. Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Abdelhameed M. Nagy - Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt\\ Department of Mathematics, Faculty of Science, Kuwait University, Safat 13060, Kuwait
Laila E. Elfahri - Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

 

New Results on the Generator of Conformable Semigroups, Vol. 8, No. 1 (Jan. 2022), PP:77-89

doi:10.18576/pfda/080105

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Authors:
Sharifa Al-Sharif - Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Rahma Al-Shorman - Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan

 

Existence and Stability of Nonlinear Implicit Caputo-Exponential Fractional Differential Equations, Vol. 8, No. 1 (Jan. 2022), PP:91-105

doi:10.18576/pfda/080106

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Authors:
Mouffak Benchohra - Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, PO Box 89, 22000, Sidi Bel-Abbes, Algeria\\ Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Jamal Eddine Lazreg - Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, PO Box 89, 22000, Sidi Bel-Abbes, Algeria
Bessem Samet - Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Yong Zhou - Faculty of Information Technology, Macau University of Science and Technology, Macau 999078, China\\ Faculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China

 

Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi φ−Convex Functions, Vol. 8, No. 1 (Jan. 2022), PP:107-122

doi:10.18576/pfda/080107

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Authors:
Miguel Vivas-Cortez - Escuela de Ciencias F ́ısicas y Matema ́ticas,Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cato ́lica del Ecuador, Av. 12 de octubre 1076,Apartado: 17-01-2184, Quito, Ecuador
Artion Kashuri - Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania
Jorge Eliecer Herna ́ndez Herna ́ndez - Departamento de Te ́cnicas Cuantitativas, Decanato de Ciencias Econo ́micas y Empresariales, Universidad Centroccidental Lisandro Alvarado, ZP: 3001, Barquisimeto, Venezuela

 

Existence Results for a New Fractional Boundary Value Problem by Variational Methods, Vol. 8, No. 1 (Jan. 2022), PP:123-136

doi:10.18576/pfda/080108

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Authors:
Fatemeh Shirmohammadzadeh - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, 47416-95447, Iran
Abdolali Neamaty - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, 47416-95447, Iran

 

Continuity with Respect to Fractional Order of the Time a Linear Fractional Pseudo-Parabolic Equation, Vol. 8, No. 1 (Jan. 2022), PP:137-146

doi:10.18576/pfda/080109

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Authors:
Ho Duy Binh - Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
Vo Viet Tri - Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
Nguyen Duc Phuong - Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam

 

Iterative Methods for Solving Seventh-Order Nonlinear Time Fractional Equations, Vol. 8, No. 1 (Jan. 2022), PP:147-175

doi:10.18576/pfda/080110

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Authors:
Lanre Akinyemi - Lafayette College, Department of Mathematics, Easton, PA 18042, USA
Olaniyi S. Iyiola - California University of Pennsylvania, Department of Mathematics and Physical Sciences, California, PA 15419, USA
Isaac Owusu-Mensah - Ohio University, Department of Mathematics, Athens, OH 45701, USA\\ University of Education, Winneba, Department of Science Education, Mampong-Ashanti, Ghana

 

Two Analytical Approaches for Space- and Time- Fractional Coupled Burger’s Equations via Elzaki Transform, Vol. 8, No. 1 (Jan. 2022), PP:177-190

doi:10.18576/pfda/080111

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Authors:
Garima Agarwal - Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, India
Lokesh Kumar Yadav - Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, India
Wedad Albalawi - Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Abdel-Haleem Abdel-Aty - Department of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha 61922, Saudi Arabia\\ Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia
Thekkethil Shefeeq - Department of Mathematics, Farook College (Autonomous), Kozhikode-673632, Kerala, India

 

The Solution of Nonlinear Time-Fractional Differential Equations: An Approximate Analytical Approach, Vol. 8, No. 1 (Jan. 2022), PP:191-204

doi:10.18576/pfda/080112

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Authors:
Puspanjali Jena - Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, India
Satyananda Mohapatra - Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, India
Satyaranjan Mishra - Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar-751030, Odisha, India
Areej A. Al-Moneef - Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Awatif A. Hindi - Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia

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