A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY

Bashir Ahmad; Madeaha Alghanmi; Ahmed Alsaedi

doi:10.11948/20200049

2021 Volume 11 Issue 3

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Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi. A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1208-1221. doi: 10.11948/20200049

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Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi. A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1208-1221. doi: 10.11948/20200049

A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY

1.
Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Corresponding author: Email address: bashirahmad_qau@yahoo.com (B. Ahmad)

Abstract

Abstract

In this paper, we discuss the existence of solutions for generalized Caputo fractional differential equations and inclusions equipped with Steiltjes-type fractional integral boundary conditions via fixed-point theory. Examples are constructed for illustrating the obtained results.
- Fractional differential equations and inclusions /
- Caputo derivative, fractional integral /
- existence /
- fixed point
MSC: 26A33, 34A60, 34B15, 34K05

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References

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