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Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

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2019

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Ovidius Univ Press

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Abstract

The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces. Based on the Banach contraction principle and Krasnoselskii fixed point theorem (FPT) joined with resolvent operators, we develop the main results. Ultimately, an representation is also offered to demonstrate the accomplished theorem.

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Fractional Calculus, Integro-Differential Equations, Nonlocal Condition, Resolvent Operators, Banach and Krasnoselskii Fixed Point Theorem

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Mallika, D...et al. (2019). "Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators", Analele Stiintifice Ale Universitaiiı Ovidius Constanta-Seria Matematica, Vol. 27, No. 1, pp. 107-124.

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Analele Stiintifice Ale Universitaiiı Ovidius Constanta-Seria Matematica

Volume

27

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1

Start Page

107

End Page

124