Generalized Caputo Proportional Boundary Value Langevin Fractional Differential Equations via Kuratowski Measure of Noncompactness
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Authors: S. ZERBIB, K. HILAL AND A. KAJOUNI
DOI: 10.46793/KgJMat2607.1035Z
Abstract:
This manuscript aims to discuss the existence of solutions for nonlinear boundary value Langevin fractional differential equations involving the generalized Caputo proportional fractional derivative via Kuratowski measure of noncompactness in an arbitrary Banach space. Using the measure of noncompactness approach and Mönch’s fixed point theorem, we demonstrate the existence result. An illustrative example is provided as an application to illustrate our main results.
Keywords:
Differential equations, generalized Caputo proportional fractional derivative, measure of noncompactness, fixed point theorem.
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