Fractional differential equations with coupled slit-strips type integral boundary conditions

Bashir Ahmad; P. Karthikeyan; K. Buvaneswari; Bashir Ahmad; P. Karthikeyan; K. Buvaneswari

doi:10.3934/math.2019.6.1596

AIMS Mathematics

2019, Volume 4, Issue 6: 1596-1609. doi: 10.3934/math.2019.6.1596

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Fractional differential equations with coupled slit-strips type integral boundary conditions

1.
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2.
Department of Mathematics, Sri Vasavi College, Erode, TN, India
3.
Department of Mathematics, Sona College of Technology, Salem, TN, India

Received: 09 July 2019 Accepted: 04 September 2019 Published: 14 October 2019
MSC : 34A08, 34B10, 34B15

In this article, we discuss the existence of solutions for coupled hybrid fractional differential equations supplemented with coupled slit-strips type boundary conditions. We make use of the standard tools of fixed point theory to obtain the desired results, which are well-illustrated with examples.
- Caputo fractional derivative,
- hybrid system,
- integral boundary conditions,
- existence,
- fixed point
Citation: Bashir Ahmad, P. Karthikeyan, K. Buvaneswari. Fractional differential equations with coupled slit-strips type integral boundary conditions[J]. AIMS Mathematics, 2019, 4(6): 1596-1609. doi: 10.3934/math.2019.6.1596

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Abstract

In this article, we discuss the existence of solutions for coupled hybrid fractional differential equations supplemented with coupled slit-strips type boundary conditions. We make use of the standard tools of fixed point theory to obtain the desired results, which are well-illustrated with examples.

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