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Existence Theorems for Semi-Linear Caputo Fractional Differential Equations With Nonlocal Discrete and Integral Boundary Conditions

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Abstract

In this paper, we introduce and study a new class of boundary value problems of one-dimensional higher-order semi-linear Caputo type fractional differential equations and nonlocal multi-point discrete and integral boundary conditions. Our existence results are new in the given setting and rest on some standard tools of fixed point theory. We also discuss Riemann-Liouville and Stieltjes variants of the proposed problem. The obtained results are well illustrated with the aid of examples.

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Authors and Affiliations

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

    Doa’a Qarout, Bashir Ahmad & Ahmed Alsaedi

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  1. Doa’a Qarout
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  2. Bashir Ahmad
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  3. Ahmed Alsaedi
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Correspondence to Doa’a Qarout.

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Qarout, D., Ahmad, B. & Alsaedi, A. Existence Theorems for Semi-Linear Caputo Fractional Differential Equations With Nonlocal Discrete and Integral Boundary Conditions. FCAA 19, 463–479 (2016). https://doi.org/10.1515/fca-2016-0024

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  • DOI: https://doi.org/10.1515/fca-2016-0024

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