Asymptotically almost automorphic solutions of fractional order neutral integro-differential equations

V Kavitha, S Abbas, R Murugesu - Bulletin of the Malaysian Mathematical …, 2016 - Springer
V Kavitha, S Abbas, R Murugesu
Bulletin of the Malaysian Mathematical Sciences Society, 2016Springer
In this paper, we study the existence of asymptotic almost automorphic solution of fractional
neutral integro-differential equation. We prove the result using fixed-point theorems. We
show the result with Lipschitz condition and without Lipschitz condition on the forcing term.
Finally, examples are given to illustrate the analytical findings.
Abstract
In this paper, we study the existence of asymptotic almost automorphic solution of fractional neutral integro-differential equation. We prove the result using fixed-point theorems. We show the result with Lipschitz condition and without Lipschitz condition on the forcing term. Finally, examples are given to illustrate the analytical findings.
Springer
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