Ogbu Famous Imaga, Nikos Mastorakis, "Existence and Uniqueness of Solution for a Multi-order p-Laplacian Hadamard-type Fractional-order Boundary Value Problem," WSEAS Transactions on Mathematics, vol. 24, pp. 595-603, 2025, DOI:10.37394/23206.2025.24.58
Ogbu Famous Imaga, Nikos Mastorakis. Existence and Uniqueness of Solution for a Multi-order p-Laplacian Hadamard-type Fractional-order Boundary Value Problem.
WSEAS Transactions on Mathematics. 2025;24:595-603. 10.37394/23206.2025.24.58
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Existence and Uniqueness of Solution for a Multi-order p-Laplacian Hadamard-type Fractional-order Boundary Value Problem
Authors: ,
Abstract: The existence and uniqueness of a positive solution for a multi-order p-Laplacian Hadamard-type fractional-order boundary value problem with integral boundary conditions is considered in this work. The solution of the boundary value problem is expressed in an integral form, and the properties of the kernel of the integral equation, in conjunction with some fixed point theorems, are used to establish conditions for the existence and uniqueness of a positive solution for the boundary value problem. An example is used to demonstrate the results obtained.
Keywords:
fixed point, Hadamard type fractional-order, integral boundary conditions, multi-order, p-Laplacian
Pages: 595-603 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #58 DOI: 10.37394/23206.2025.24.58
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