Solutions of higher-order fractional boundary value problems with fractional left-focal like conditions
Vol 3, Issue 2, 2025
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Abstract
We consider a higher-order Riemann-Liouville fractional boundary value problem with two-point boundary conditions. The higher-order fractional conditions are left-focal inspired. Using fixed point results, the existence and nonexistence of positive solutions are conditioned upon the size of the parameter λ in the differential equation. Our approach involves constructing a Green function by combining the Green’s functions of a fractional problem of lower order and a left focal boundary value problem. We then use induction to increase the order. An example is provided to illustrate the existence and nonexistence regions.
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Editor-in-Chief
Prof. Youssri Hassan Youssri
Cairo University, Egypt
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