Abstract This article proposes new strategies for solving two-point Fractional order Nonlinear Boundary Value Problems (FNBVPs) with Robin Conditions (RBCs). In the numerical schemes, a FNBVP is transformed into system of Initial (FIVPs) unknown (ICs). To approximate ICs in FIVPs, we develop nonlinear shooting methods based on Newton’s method and Halley’s using RBC at right end point. deal FIVP...

Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which based on Linear Multistep (LMM). The HyBVM the hybrid version of Methods (BVMs) are methods derived to overcome limitations LMMs. This scheme shares same characteristic with Runge Kutta method as data utilized at off-step points. In this work, we apply two second order Problems (BVPs) mixed boundary conditions and results effi...

In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...

Abstract In this manuscript, we examine both the existence and stability of solutions to boundary value problem Caputo fractional differential equations variable order by converting it into an equivalent standard constant with help generalized intervals piece-wise functions. All results in study are established using Darbo’s fixed point theorem combined Kuratowski measure noncompactness. Furthe...