Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions |
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| Authors: | Bashir Ahmad Sotiris K. Ntouyas Ahmed Alsaedi |
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| Affiliation: | 1.Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science,King Abdulaziz University,Jeddah,Saudi Arabia;2.Department of Mathematics,University of Ioannina,Ioannina,Greece |
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| Abstract: | In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for a boundary value problem of fractional differential equations with nonlocal and average type integral boundary conditions. The Leray–Schauder nonlinear alternative, Krasnoselskii’s fixed point theorem and Banach’s fixed point theorem together with Hölder inequality are applied to construct proofs for the main results. Examples illustrating the obtained results are also presented. |
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