ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Existence of Solutions to Fractional Abstract Integro-differential Equation


A. Al-Omari

Al al-Bayt University
Faculty of Sciences
Department of Mathematics
P.O. Box 130095
Mafraq 25113

M.H.M. Rashid

Department of Mathematics& Statistics
Faculty of Science P.O. Box(7)
Mutah University


In this paper, we prove the existence of solutions to fractional abstract integro-differential equation with impulsive nonlocal conditions in Banach spaces. The results are obtained using fractional calculus and fixed point theorem. An example is provided to illustrate the theory.

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