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Existence Results for Novel Sequential Phi-Caputo Fractional Differential Equations via Concept of Measures of Noncompactness

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Abstract

In this paper, by assuming certain assumptions, a novel class of sequential \(\Game \)-Caputo fractional differential equations (S\(\Game \)-CFDE) featuring anti-periodic and \(\Game \)-Riemann–Liouville (\(\Game \)-R–L) fractional integral boundary conditions has been studied. The primary goal of this paper has been to explore whether there exists a uniqueness solution to the proposed class of problem utilizing the manner of the theory of topological degree for Banach contraction principle and the curtailing maps. Eventually, two specific instances of the study results have been offered to demonstrate its performance and effectiveness.

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Authors and Affiliations

  1. Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshahr, Iran

    Bahram Agheli

  2. Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

    Rahmat Darzi

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  1. Bahram Agheli
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  2. Rahmat Darzi
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All authors contributed equally to this paper. All authors read and approved the final manuscript.

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Agheli, B., Darzi, R. Existence Results for Novel Sequential Phi-Caputo Fractional Differential Equations via Concept of Measures of Noncompactness. Int. J. Appl. Comput. Math 10, 88 (2024). https://doi.org/10.1007/s40819-024-01722-8

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