Anti-periodic boundary value problems for singular fractional p-Laplacian equations

In this paper, anti-periodic boundary value problems for Caputo fractional differential equations involving the p-Laplacian operator and a singular nonlinearity of the form t-γ are studied. Using tools from functional analysis together with Schaefer fixed point theorem, a global existence result for the considered problem is obtained. In order to apply the fixed point argument, we first establish the equivalence between the fractional differential problem and a corresponding Volterra integral equation. The singular term plays a crucial role throughout the analysis and requires additional estimates. An illustrative example is provided to demonstrate the applicability of the main theorem.