Existence Results for $\\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator

Authors : Özlem Batit Özen

Pages : 61-71

Doi:10.53570/jnt.1472049

View : 67 | Download : 73

Publication Date : 2024-06-30

Article Type : Research

Abstract :This study delves into the investigation of positive solutions for a specific class of $\\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within a cone to establish the existence results for solutions of nonlinear $\\aleph$-Caputo fractional differential equations involving the p-Laplacian operator. These findings not only advance the theoretical understanding of fractional differential equations but also hold promise for applications in diverse scientific and engineering disciplines. Furthermore, we provide a clear and illustrative example that serves to reinforce the fundamental insights garnered from this investigation.
Keywords : Fractional differential equation, boundary value problem, $p$-Laplacian operator, fixed point theorem