Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations |
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| Institution: | 1. Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, Spain;2. Department of Mathematics, University of Ruse, Ruse 7017, Bulgaria;3. Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad 500078, Telangana, India |
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| Abstract: | In this article, we study a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. We obtain sufficient conditions for existence and uniqueness of positive solutions. We use the classical fixed point theorems such as Banach fixed point theorem and Krasnoselskii’s fixed point theorem for uniqueness and existence results. As in application, we provide an example to illustrate our main results. |
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