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Research Article | Open Access

Existence criteria for fractional differential equations using the topological degree method

Kottakkaran Sooppy Nisar1( ), Suliman Alsaeed1,2, Kalimuthu Kaliraj3, Chokkalingam Ravichandran4, Wedad Albalawi5, Abdel-Haleem Abdel-Aty6
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Applied Sciences College, Department of Mathematical Sciences, Umm Al-Qura University, P.O. Box 715, Makkah 21955, Saudi Arabia
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, India
Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641029, India
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia
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Abstract

In this work, we analyze the fractional order by using the Caputo-Hadamard fractional derivative under the Robin boundary condition. The topological degree method combined with the fixed point methodology produces the desired results. Finally to show how the key findings may be utilized, applications are presented.

Keywords

fractional calculusintegro-differential equationfixed point techniquestopological degree method
CLC number: 34A08, 37C25, 34K10, 34K37

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 21914-21928
DOI: 10.3934/math.20231117

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Cite this article:
Nisar KS, Alsaeed S, Kaliraj K, et al. Existence criteria for fractional differential equations using the topological degree method. AIMS Mathematics, 2023, 8(9): 21914-21928. https://doi.org/10.3934/math.20231117

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Received: 24 March 2023
Revised: 16 June 2023
Accepted: 20 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)