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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Existence of Mild Solutions for Hilfer Fractional Volterra-Fredholm Integro-Differential Inclusions via almost Sectorial Operators

Discontinuity, Nonlinearity, and Complexity 13(3) (2024) 531--542 | DOI:10.5890/DNC.2024.09.011

C. S. Varun Bose, R. Udhayakumar

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632 014, Tamil Nadu, India

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Abstract

In this manuscript, we are mainly investigating the existence of the mild solution for the Hilfer fractional Volterra-Fredholm differential systems via almost sectorial operator. The nonlinear alternative Leray-Schauder fixed point technique for multivalued maps is applied to the fractional calculus concept to demonstrate the conclusions. Finally, an application is provided to demonstrate how the major results might be applied.

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