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<p>This article aims to study the existence of solutions in abstract spaces for a semilinear nabla fractional difference equation involving variable coefficients together with a nonlinear nonlocal boundary condition. Our method is based on the concept of measure of noncompactness. We provide two examples to illustrate the applicability of established results. Our results extend existing results because the nabla fractional difference equation and the boundary condition we treat here are very general.</p>

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Discrete fractional boundary value problems with nonlinear nonlocal boundary conditions in banach spaces

  • 期刊论文

  • 发表日期：

    2025年2月19日

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  • Sangeeta Dhawan,
  • Jagan Mohan Jonnalagadda

摘要

This article aims to study the existence of solutions in abstract spaces for a semilinear nabla fractional difference equation involving variable coefficients together with a nonlinear nonlocal boundary condition. Our method is based on the concept of measure of noncompactness. We provide two examples to illustrate the applicability of established results. Our results extend existing results because the nabla fractional difference equation and the boundary condition we treat here are very general.