Thu Dau Mot University Journal of Science
NEW CONDITIONS FOR THE EXISTENCE OF SOLUTIONS TO A FRACTIONAL DIFFERENTIAL EQUATION WITH BOUNDARY CONDITIONS
Abstract
We consider a boundary value problem involving a fractional differential equation with a g-Caputo fractional derivative. This paper establishes some new criteria for the existence of solutions to the problem, differing from those obtained by previous researchers. The method is based on the construction of a novel Green’s function and the application of the Schauder fixed point theorem. Examples are provided to illustrate the fundamental distinctions between our results and earlier work.
Keywords
fixed point theorem, fractional differential equation, g-Caputo fractional derivative of order α, Green's function
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Thu Dau Mot University, Viet Nam
Honorary Editor-in-Chief and Chairman of the Editorial Board
Assoc. Prof. Nguyen Van Hiep
Deputy Editor-in-Chief
PhD. Trần Hạnh Minh Phương
Thu Dau Mot University
Thu Dau Mot University
Editorial Board
Prof. Tran Van Doan
Fujen University, Taiwan
Fujen University, Taiwan
Prof. Zafar Uddin Ahmed
Vietnam National University Ho Chi Minh City
Vietnam National University Ho Chi Minh City
Prof.Dr. Phillip G.Cerny
The University of Manchester, United Kingdom
The University of Manchester, United Kingdom
Prof. Ngo Van Le
University of Social Sciences and Humanities (VNU-HCM)
University of Social Sciences and Humanities (VNU-HCM)
Prof. Bui The Cuong
Southern Institute of Social Sciences
Southern Institute of Social Sciences
Prof. Le Quang Tri
Can Tho University
Can Tho University
Assoc. Prof. Nguyen Van Duc
Animal Husbandry Association of Vietnam
Animal Husbandry Association of Vietnam
Assoc. Prof. Ted Yuchung Liu
National Pingtung University, Taiwan
National Pingtung University, Taiwan
PhD. Anita Doraisami
Economics Monash University, Australia
Economics Monash University, Australia
Prof. Dr. Andrew Seddon
Asia Pacific University of Technology & innovation (APU)
Asia Pacific University of Technology & innovation (APU)
Assoc. Prof. Le Tuan Anh
Thu Dau Mot University
Thu Dau Mot University
Prof. Abtar Darshan Singh
Asia Pacific University, Malaysia
Asia Pacific University, Malaysia
Prof.Dr. Ron W.Edwards
The University of Melbourne, Australia
The University of Melbourne, Australia
Assoc. Prof. Hoang Xuan Nien
Thu Dau Mot University
Thu Dau Mot University
PhD. Nguyen Duc Nghia
Vietnam National University Ho Chi Minh City
Vietnam National University Ho Chi Minh City
PhD. Bao Dat
Monash University (Australia)
Monash University (Australia)
PhD. Raqib Chowdhury
Monash University (Australia)
Monash University (Australia)
PhD. Nguyen Hoang Tuan
Thu Dau Mot University
Thu Dau Mot University
PhD. Nguyen Thi Lien Thuong
Thu Dau Mot University
Thu Dau Mot University
Assistant
Nguyen Thi Man
Thu Dau Mot University
Thu Dau Mot University