Analysis of multipoint impulsive problem of fractional-order differential equations

Boundary Value Problems

Research

Bahaaeldin Abdalla¹  Kamal Shah²  Thabet Abdeljawad³  Rozi Gul⁴ 

[1]Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia

[2]Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia

[3]Department of Mathematics, University of Malakand, 18000, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

[4]Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia

[5]Department of Medical Research, China Medical University, 40402, Taichung, Taiwan

[6]Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, 02447, Dongdaemun-gu, Seoul, Korea

[7]Department of Mathematics, University of Malakand, 18000, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

关键词: Existence and uniqueness;    Nonlocal boundary conditions;    Impulsive-implicit differential equations;    26A33;    34A08;    34A09;   

DOI  :  10.1186/s13661-022-01688-w

 received in 2022-04-19, accepted in 2022-12-22,  发布年份 2022

来源: Springer

【 摘 要 】

This manuscript is related to establishing appropriate results for the existence and uniqueness of solutions to a class of nonlinear impulsive implicit fractional-order differential equations (FODEs). It is remarkable that impulsive differential equations have attracted great popularity due to various important applications in the mathematical modeling of real-world phenomena/processes, particularly in biological or biomedical engineering domains as well as in control theory. The mentioned problem is considered under four-point nonlocal boundary conditions and the derivative is taken in the Caputo sense. Our results are based on fixed-point theorems due to Banach and Schaefer. To justify our results, two suitable examples are given.

【 授权许可】

CC BY   
© The Author(s) 2023

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