Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions |
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| Authors: | K Karthikeyan JJ Trujillo |
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| Institution: | 1. Nonlinear Analysis and Applied Mathematics (NAAM) - Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Gh. Asachi Technical University, 11 Blvd. Carol I, Iasi 700506, Romania;1. Post Graduate and Research Department of Mathematics, Kongunadu Arts and Science College(Autonomous), Coimbatore, 641 029, Tamil Nadu, India;2. Department of Mathematics, GMR Institute of Technology, Rajam, 532 127, Andhra Pradesh, India;3. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia |
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| Abstract: | In this paper, we study existence and uniqueness of fractional integrodifferential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain an important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results. |
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