WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
Well-Posedness of a Hadamard Type Fractional Differential Equation with p-Laplacian Operator
Authors: , ,
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Abstract: We will study the well-posedness of a nonlinear p-Laplacian Hadamard-type fractional order differential
equation in this article. The solution of the boundary value problem is obtained in an integral form, while the
Schauder fixed point theorem coupled with some properties of the Green functions is used to obtain conditions
for the existence of solutions. The uniqueness of the solution is also considered for boundary value problem
while the stability of the solutions is also considered using the generalized Hyers-Ulam and Hyers-Ulam stability
analysis. Examples are used to demonstrate the applicability of the results that were obtained.
Keywords:
existence and uniqueness, fixed point, Hadamard type fractional differential equation, p-Laplacian, stability
Pages: 530-537
DOI: 10.37394/23203.2025.20.52