Startseite Mathematik A result on solvability for a class of nonlinear fractional integral equations in a Banach space
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A result on solvability for a class of nonlinear fractional integral equations in a Banach space

  • Sukanta Halder und Deepmala
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Abstract

This paper is concerned with the existence of solutions to a class of fractional functional integral equations in the Banach space C [ 0 , a ] , a > 0 . As our primary tool, we employ Petryshyn’s fixed point theorem associated with the measure of noncompactness. Our existence results contain several functional integral equations as a particular case that arises in nonlinear analysis. In addition, we provide some examples to illustrate the applicability of our results.

Abstract

This paper is concerned with the existence of solutions to a class of fractional functional integral equations in the Banach space C [ 0 , a ] , a > 0 . As our primary tool, we employ Petryshyn’s fixed point theorem associated with the measure of noncompactness. Our existence results contain several functional integral equations as a particular case that arises in nonlinear analysis. In addition, we provide some examples to illustrate the applicability of our results.

Heruntergeladen am 21.10.2025 von https://www.degruyterbrill.com/document/doi/10.1515/9783111724638-005/html?lang=de
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