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Existence results for fractional impulsive integrodifferential equations in Banach spaces
Affiliation:1. Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA;2. Department of Mathematics, Gh. Asachi Technical University, Iasi 700506, Romania;1. Department of Applied Mathematics, Imecc–UNICAMP, Campinas, 13083–859, SP, Brazil;2. Coordination of Civil Engineering, Technological Federal University of Paraná, Guarapuava, 85053-525, PR, Brazil;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, University of Ioannina, 451 10 Ioannina, Greece
Abstract:This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.
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