On positive solutions to fractional sum boundary value problems for nonlinear fractional difference equations |
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| Authors: | Jiraporn Reunsumrit Thanin Sitthiwirattham |
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| Institution: | Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology, North Bangkok, Thailand |
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| Abstract: | In this paper, we study a new class of 3‐point boundary value problems of nonlinear fractional difference equations. Our problems contain difference and fractional sum boundary conditions. Existence and uniqueness of solutions are proved by using the Banach fixed‐point theorem, and existence of the positive solutions is proved by using the Krasnoselskii's fixed‐point theorem. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | fractional difference equations boundary value problem |
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