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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Vol. 10 > Jan. 2024

 

 

An Optimal Control Problem for Dengue Fever Model Using Caputo Fractional Derivatives, Vol. 10, No. 1 (Jan. 2024), PP:1-13

doi:10.18576/pfda/100101

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Authors:
Madasamy Vellappandi - Department of Mathematics, National Institute of Technology Puducherry, Karaikal - 609 609, India
Venkatesan Govindaraj - Department of Mathematics, National Institute of Technology Puducherry, Karaikal - 609 609, India
Pushpendra Kumar - Department of Mathematics, National Institute of Technology Puducherry, Karaikal - 609 609, India
Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, 11991 Wadi Aldawaser, Saudi Arabia

 

Fractional Order Mathematical Modelling for Studying the Impact on the Emergence of Pollution and Biodiversity Pertaining to Incomplete Aleph Functions, Vol. 10, No. 1 (Jan. 2024), PP:15-22

doi:10.18576/pfda/100102

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Authors:
Shaher Momani - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science, University of Jordan, Amman, 11942, Jordan
Rahul Sharma - Amity Institute of Information Technology, Amity University Rajasthan, Jaipur-303002, Rajasthan, India
Jagdev Singh - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Yudhveer Singh - Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur-303002, Rajasthan, India
Samir Hadid - Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE

 

Construction by the Tikhonov Method of a Nonzero Solution of the Homogeneous Cauchy Problem for one Equation with a Fractional Derivative, Vol. 10, No. 1 (Jan. 2024), PP:23-27

doi:10.18576/pfda/100103

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Authors:
Bakhrom Irgashev - Namangan Engineering Construction Institute, Namangan, 160103 Uzbekistan\\ Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, 100174 Uzbekistan

 

A New Investigation of Prey-Predator Interactions Among Bacterial Species and Protozoa Under Atangana-Baleanu-Caputo Derivative, Vol. 10, No. 1 (Jan. 2024), PP:29-51

doi:10.18576/pfda/100104

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Authors:
Mohammad Partohaghighi - Department of Mathematics, Clarkson University, Potsdam, NY 13699, USA
Mustafa Inc - Department of Computer Engineering, Biruni University, Turkey\\ Department of Mathematics, Science Faculty, Firat University, Elazig, Turkey\\ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
Sania Qureshi - Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro – 76072, Sindh, Pakistan\\ Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
Evren Hincal - Department of Mathematics, Near East University TRNC, Mersin 10, Turkey\\ Mathematics Research Center, Near East University TRNC, Mersin 10, Turkey
Asif Ali Shaikh - Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro – 76072, Sindh, Pakistan
Nezihal Gokbulut - Department of Mathematics, Near East University TRNC, Mersin 10, Turkey\\ Mathematics Research Center, Near East University TRNC, Mersin 10, Turkey

 

Fractional Model of Susceptibility Characteristics of ESBL- Producing K. Pneumoniae Infections for Carbapenems and Piperacillin-Tazobactam, Vol. 10, No. 1 (Jan. 2024), PP:53-62

doi:10.18576/pfda/100105

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Authors:
Cemile Bagkur - DESAM Research Institute, Near East University, Nicosia 99138, Cyprus\\ Department of Medical Microbiology, Faculty of Medicine, University of Kyrenia, Kyrenia 99320, Cyprus
Bilgen Kaymakamzade - Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus\\ Mathematics Research Center, Near East University, Nicosia 99138, Cyprus

 

Intuitionistic Fuzzy Generalized Conformable Fractional Derivative, Vol. 10, No. 1 (Jan. 2024), PP:63-72

doi:10.18576/pfda/100106

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Authors:
Atimad Harir - Laboratory of Mathematical Modeling and Economic Calculation, Hassan 1er University, Settat, Morocco
Said Melliani - Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, B.P. 523, Beni Mellal, Morocco
L. Saadia Chadli - Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, B.P. 523, Beni Mellal, Morocco

 

Exploring the Solvability for Coupled System of Nonlinear Fractional Langevin Equations, Vol. 10, No. 1 (Jan. 2024), PP:73-80

doi:10.18576/pfda/100107

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Authors:
Hamdy M. Ahmed - Higher Institute of Engineering, El-Shorouk Academy, P. O. 3 El-Shorouk City, Cairo, Egypt
Ahmed S. Ghanem - Higher Institute of Engineering, El-Shorouk Academy, P. O. 3 El-Shorouk City, Cairo, Egypt

 

Analytical Approximations for a System of Fractional Partial Differential Equations, Vol. 10, No. 1 (Jan. 2024), PP:81-89

doi:10.18576/pfda/100108

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Authors:
Lamees K. Alzaki - Department of Mathematics, College of Education for Pure Science, University of Thi-Qar,Thi-Qar, Iraq
Hassan Kamil Jassim - Department of Mathematics, College of Education for Pure Science, University of Thi-Qar,Thi-Qar, Iraq

 

New Approximate Solutions to Some of Nonlinear PDEs with Atangana-Baleanu-Caputo operator, Vol. 10, No. 1 (Jan. 2024), PP:91-98

doi:10.18576/pfda/100109

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Authors:
Hassan Kamil Jassim - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq
Hijaz Ahmad - Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon\\ Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Jagdev Singh - Department of Mathematics, JECRC University, Jaipur, Rajasthan, India
Devendra Kumar - Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India
Ali T. Salman - Educational Directrate of Thi-Qar, Nasiryah, Iraq\\ College of Technical Engineering, National University of Science and Technology, Thi Qar, Iraq
Djelloul Ziane - Laboratory of mathematics and its applications (LAMAP), University of Oran1, Oran, Algeria.
Mountassir Hamdi Cherif - Hight School of Electrical and Energetics Engineering of Oran (ESGEE-Oran), Oran, Algeria

 

A Computational Numerical Study of Burger Equation with Fractal Fractional Derivative, Vol. 10, No. 1 (Jan. 2024), PP:99-112

doi:10.18576/pfda/100110

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Authors:
Sonal Jain - School of Technology, Woxsen University, Hyderabad, Telangana, 502345
Ho-Hon Leung - School of Technology, Woxsen University, Hyderabad, Telangana, 502345
Firuz Kamalov - Department of Electrical Engineering, Canadian University Dubai, Dubai, UAE

 

Solution of an Initial Value Problem of Cauchy Type for One Equation, Vol. 10, No. 1 (Jan. 2024), PP:113-118

doi:10.18576/pfda/100111

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Authors:
Bakhrom Irgashev - Namangan Engineering Construction Institute, Namangan, 160103 Uzbekistan,\\ Institute of Mathematics of the Academy of Sciences of Uzbekistan Tashkent, 100174 Uzbekistan

 

Mathematical Analysis of Streptococcus Suis Infection in Pig-Human Population by Riemann-Liouville’s Fractional Operator, Vol. 10, No. 1 (Jan. 2024), PP:119-135

doi:10.18576/pfda/100112

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Authors:
Awatif Muflih Alqahtani - saudi arabia
Manvendra Narayan Mishra - Jaipur, Rajasthan

 

Analytical Solution of Conformable Schro ̈dinger Wave Equation with Coulomb Potential, Vol. 10, No. 1 (Jan. 2024), PP:137-147

doi:10.18576/pfda/100113

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Authors:
Mohamed Ghaleb Al-Masaeed - Ministry of Education, Jordan
Eqab.M.Rabei - Physics Department, Faculty of Science, Al al-Bayt University, P.O. Box 130040, Mafraq 25113, Jordan
Ahmed Al-Jamel - Physics Department, Faculty of Science, Al al-Bayt University, P.O. Box 130040, Mafraq 25113, Jordan

 

Existence Results on Mittag-Leffler Kernel of Fractional Integro-Differential Inclusion Problem Under Boundary Conditions, Vol. 10, No. 1 (Jan. 2024), PP:149-160

doi:10.18576/pfda/100114

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Authors:
Kottakkaran Sooppy Nisar - Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Saudi Arabia
Veliappan Vijayaraj - Department of Mathematics, Kongunadu Arts and Science College, Coimbatore - 641 029, India
Shyni Unni Kumaran - Department of Mathematics and Statistics, Providence Women’s College, Malaparamba, Kozhikode - 673 009Department of Mathematics and Statistics, Providence Women’s College, Malaparamba, Kozhikode - 673 009
Chokkalingam Ravichandran - Department of Mathematics, Kongunadu Arts and Science College, Coimbatore - 641 029, India
Poh Soon JosephNg - Faculty of Data Science and Information Technology, INTI International University, Malaysia
M. Abdel-Aty - Department of Computer Science and Information Engineering, Chung Hua University, Hsinchu, Taiwan 30012, R.O.C.\\ Deanship of Graduate Studies and Research, Ahlia University, Manama, Kingdom of Bahrain\\ Mathematics Department, Faculty of Science, Sohag University, Egypt

 

Solving Fredholm and Fractional Integral Equations through Orthogonal Pentagonal Metric Spaces, Vol. 10, No. 1 (Jan. 2024), PP:161-196

doi:10.18576/pfda/100115

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Authors:
Poh Soon JosephNg - Faculty of Data Science and Information Technology, INTI International University, Malaysia
Gunaseelan Mani - Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai-602 105,Tamil Nadu, India
Shoba Sree Ramulu - Department of Mathematics, S.A. Engineering College, Chennai -600077, Tamil Nadu, India
Hasanen A. Hammad - Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
M. Abdel-Aty - Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt\\ Department of Computer Science and Information Engineering, Chung Hua University, Hsinchu, Taiwan 30012, R.O.C.\\ Deanship of Graduate Studies and Research, Ahlia University, P.O. Box 10878 Manama, Bahrain

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