Existence results for a class of boundary value problems for fractional differential equations

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2021

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SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAKATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY

Abstract

By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of fractional differential equations. This paper is motivated by Agarwal et al. (Georgian Math. J. 16 (2009) No.3, 401-411).

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Fractional differential equations, boundary value problems, Caputo fractional derivative, uniqueness, ex-istence, fixed point

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Volume 45 Issue 3 Page 1149-1165

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