Existence of solutions of \(q\)-functional integral equations with deviated argument

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DOI:

https://doi.org/10.26637/mjm403/004

Abstract

In this paper, we study the existence of solutions for \(q\)-functional integral equations in Banach space \(C[0, T]\). The existence and uniqueness of solutions for the problems are proved by means of the Banach contraction principle.

Keywords:

Banach contraction principle, Deviated argument, existence, \(q\)-functional integral equations

Mathematics Subject Classification:

534A08, 47H07, 47H10
  • A. M. A. El-Sayed Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt.
  • Fatma. M. Gaafar Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.
  • R. O. Abd-El-Rahman Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.
  • M. M. El-Haddad Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.
  • Pages: 373-379
  • Date Published: 01-07-2016
  • Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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Published

01-07-2016

How to Cite

A. M. A. El-Sayed, Fatma. M. Gaafar, R. O. Abd-El-Rahman, and M. M. El-Haddad. “Existence of Solutions of \(q\)-Functional Integral Equations With Deviated Argument”. Malaya Journal of Matematik, vol. 4, no. 03, July 2016, pp. 373-9, doi:10.26637/mjm403/004.

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Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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