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In this chapter, we use a contraction operator to prove a generalized Darbo-type fixed point theorem with the intention to study the existence of solutions of an infinite system of nonlinear q-fractional boundary value problem in Banach spaces formulated with the help of measure of noncompactness. Moreover, a suitable example is presented in order to illustrate the existence result.

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Existence of Solutions for Infinite System of Nonlinear q-Fractional Boundary Value Problem via Generalized Darbo’s Fixed Point Theorem

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  • 发表日期：

    2025年

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  • Anupam Das,
  • Sudip Deb

摘要

In this chapter, we use a contraction operator to prove a generalized Darbo-type fixed point theorem with the intention to study the existence of solutions of an infinite system of nonlinear q-fractional boundary value problem in Banach spaces formulated with the help of measure of noncompactness. Moreover, a suitable example is presented in order to illustrate the existence result.