• APPROXIMATE SOLUTIONS TO FRACTIONAL SEMILINEAR EVOLUTION EQUATION WITH NONLOCAL CONDITION
Abstract
In this paper, we study the approximate solutions, uniqueness and other properties of solutions of fractional semilinear evolution equations with nonlocal condition in Banach spaces. The results are obtained by using fractional calculus, Banach fixed theorem and the integral inequality established by E. Hernandez.
Keywords
Approximate solutions, evolution equation, fractional calculus, nonlocal condition, continuous dependance, Hernandez's inequality.
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