An Innovative Computational Technique for a Class of Fractional BVPs with Conformable Derivative

Document Type : Research Paper

Authors

1 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

2 Matematik Bölumü, Ondokuz Mayis Universitesi, Samsun, Türkiye.

10.22034/cmde.2026.70497.3507

Abstract

This work will study linear conformable fractional boundary value problems with Dirichlet boundary conditions. First, the solution's existence and uniqueness will be verified using the Banach fixed point theorem. Then, an approximated solution to the problem will be obtained using a numerical method. Some numerical examples will be presented to show the efficiency of the result.

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Articles in Press, Accepted Manuscript
Available Online from 12 May 2026
  • Receive Date: 02 December 2025
  • Revise Date: 25 April 2026
  • Accept Date: 11 May 2026