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Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 631--642 | DOI:10.5890/DNC.2023.09.010

P. Karthikeyan$^1$, K. Karthikeyan$^2$, D. Baleanu$^3$

$^1$ Department of Mathematics, Sri vasavi college, Erode, Tamil Nadu, India

$^2$ Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore - 641 407, Tamil Nadu, India

$^3$ Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Turkey

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Abstract

We analyze the existence results of fractional integro-differential equations via $\Psi$-Hilfer fractional derivative with nonlocal multi-point condition by using Schauder fixed point theorem. To establish the sufficient conditions for compactness of operators and an example is also discussed.

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