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Darboux problem for perturbed partial differential equations of fractional order with finite delay
Authors:Saïd Abbas  Mouffak Benchohra  
Institution:aLaboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie;bLaboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie
Abstract:In this paper we investigate the existence of solutions for functional partial perturbed hyperbolic differential equations with fractional order. These results are based upon a fixed point theorem for the sum of contraction and compact operators.
Keywords:Darboux problem  Functional differential equations  Fractional order  Solution  Left-sided mixed Riemann–  Liouville integral  Caputo fractional order derivative  Fixed point
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