Abstract
This research examines generalized boundary value problems of the \(\Psi \)-Hilfer fractional differential equations of order \(2<\alpha <3\) and \(n-1< \alpha <n\) \((n\ge 4)\), type \(\beta \in [0,1]\) under two different initial conditions. Through equivalent fractional integral equations, the existence and uniqueness of a solution have been demonstrated. This study relies on a variety of fractional calculus tools as well as nonlinear theorems due to Leray–Schauder and Schaefer. To conclude, examples are provided to illustrate how the key results might be justified.
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Bhupeshwar, Patel, D.K., Gabeleh, M. et al. On existence of solutions for \(\Psi \)-Hilfer type fractional BVP of generalized higher order. Comp. Appl. Math. 43, 155 (2024). https://doi.org/10.1007/s40314-024-02681-y
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DOI: https://doi.org/10.1007/s40314-024-02681-y