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article · Asia Pacific Journal of Mathematics

Existence of Anti-Periodic Solutions for ϕ-Caputo Fractional p-Laplacian Problems via Topological Degree Methods

Abstract

A. The main crux of this paper is to investigate the existence of solutions for anti-periodic nonlinear -Caputo fractional differential equations with p-Laplacian operators.Our main results are proved through the application of topological degree methods of condensing maps and several properties of -Caputo fractional calculus paired with measures of noncompactness.To show the practical significance of our theoretical results, we provide an nontrivial example at the end.

Research topics

  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Nonlinear Differential Equations Analysis

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DOI: 10.28924/apjm/10-13

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