Existence of Solution for Delay Fractional Differential Equations |
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Authors: | Yaghoub Jalilian Reza Jalilian |
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Institution: | 1. Department of Mathematics, Razi University, Tagh Bostan, Kermanshah, P.O. Box 6714967346, Iran 2. Department of Mathematical Sciences, Ilam University, Ilam, P.O. Box 69315516, Iran
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Abstract: | This paper is devoted to the existence of solution for a class of delay fractional differential equations. First we prove some singular integral inequalities. Then using a fixed point theorem of nonlinear alternative Leray–Schauder type, the existence of at least one solution is proved. To illustrate the main result some examples are given. |
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