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Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay |
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| Authors: | Saïd Abbas Ravi P Agarwal Mouffak Benchohra |
| Institution: | 1. Laboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie;2. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901-6975, USA;3. KFUPM Chair Professor, Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;4. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie |
| Abstract: | This paper deals with the existence of solutions to impulsive partial functional differential equations with impulses at variable times and infinite delay, involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray–Schauder type. |
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