Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Langevin Equations Involving Two Fractional Orders with Infinite-Point Boundary Conditions

Version 1 : Received: 25 September 2023 / Approved: 26 September 2023 / Online: 26 September 2023 (07:09:34 CEST)

How to cite: Mshary, N.Y. Langevin Equations Involving Two Fractional Orders with Infinite-Point Boundary Conditions. Preprints 2023, 2023091735. https://doi.org/10.20944/preprints202309.1735.v1 Mshary, N.Y. Langevin Equations Involving Two Fractional Orders with Infinite-Point Boundary Conditions. Preprints 2023, 2023091735. https://doi.org/10.20944/preprints202309.1735.v1

Abstract

Recently, Li et al [1] investigated the nonlinear Langevin equations existence including two fractional orders with infinite-point boundary conditions. It has shown that the outcomes given it does count on the solution form for which it has boundary values. It means that their solution needs more to be in the final step. In current work, we will have discussion about the existence and uniqueness for the same boundary conditions by investigating the closely explicit solution form that has no boundary values. Numerical example is supported to have more vision to compare the between new and previous results. It turns out that our results are superior.

Keywords

fractional Langevin equations; fixed point theorem; existence and uniqueness

Subject

Computer Science and Mathematics, Mathematics

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