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- Title
Qualitative Properties of Positive Solutions of a Kind for Fractional Pantograph Problems using Technique Fixed Point Theory.
- Authors
Boulares, Hamid; Benchaabane, Abbes; Pakkaranang, Nuttapol; Shafqat, Ramsha; Panyanak, Bancha
- Abstract
The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations. As part of a procedure, we transform the specified pantograph fractional differential equation into an equivalent integral equation. We show that this equation has a positive solution by utilising the Schauder fixed point theorem (SFPT) and the upper and lower solutions method. Another method for proving the existence of a singular positive solution is the Banach fixed point theorem (BFPT). Finally, we provide an example that illustrates and explains our conclusions.
- Subjects
PANTOGRAPH; FRACTIONAL differential equations; INTEGRAL equations; LAPLACIAN operator
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 10, pN.PAG
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6100593