Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

• Authors: Bashir Ahmad , Ahmed Alsaedi , Hana Al-Hutami
• Languages of publication: EN

Abstracts

EN

This paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach’s contraction principle and Krasnoselskii’s fixed point theorem to establish the existence of results. Some illustrative examples are also presented.

Keywords

EN

sequential fractional differential equations; nonlocal; integral boundary conditions; existence; fixed point

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1487-1493

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Bashir Ahmad

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

author

Ahmed Alsaedi

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

author

Hana Al-Hutami

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

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Identifiers

DOI

10.2478/s11534-013-0193-5