Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

N. Ait ouali; A. Kandouci

doi:10.26637/mjm301/001

Abstract

We investigate in this paper the existence of mild solutions for the fractional differential equations of neutral type with nonlocal conditions and infinite delay in Hilbert spaces by employing fractional calculus and Krasnoselski-Schaefer fixed point theorem. Finally an example is provided to illustrate the application of the obtained results.

Keywords:

Infinite delay, Stochastic fractional differential equations, mild solution, fixed point theorem

Mathematics Subject Classification:

35G20

Authors Imprint References Funding Related Articles Downloads

N. Ait ouali Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University PO.Box 138 En-Nasr, 20000 Saida, Algeria.
A. Kandouci Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University PO.Box 138 En-Nasr, 20000 Saida, Algeria.

Pages: 1-13
Date Published: 01-01-2015
Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)

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