Darboux problems for nonlinear fractional-order integro-partial differential equations

Authors

  • Zeineb Kebir Laboratory of Informatics and Mathematics, Department of Mathematics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria
  • Abdelouaheb Ardjouni Department of Mathematics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria; Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria
  • Karima Bessioud Department of Mathematics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria

Abstract

In this paper, we study the existence of mild solutions of a Darboux problem for a nonlinear integro-partial differential equation of fractional order, by converting this equation into an integral equation and using Krasnoselskii-Burton fixed point theorem. For completeness, we also provide a specific example useful in the application of our theoretical results.

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Published

02/28/2026

Issue

Vol. 17 No. 1 (2026): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles