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

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Ahmad B., Alsaedi A., Al-Hutami H.

Open Physics

2013

vol. 11

issue 10

1487-1493

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.

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1 Open Physics

1 2013

1 Ahmad B.

1 Al-Hutami H.

1 Alsaedi A.

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