Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order |
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Authors: | Saïd Abbas Mouffak Benchohra |
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Institution: | 1. Laboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie;2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie |
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Abstract: | In this paper we investigate the existence of solutions for a class of initial value problems for impulsive partial hyperbolic differential equations involving the Caputo fractional derivative by using the lower and upper solutions method combined with Schauder’s fixed point theorem. |
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