Exploring the Presence of Positive Solutions in a Fractional Equation Featuring Dual Integral and Derivative Boundary Conditions under the p-Laplacian Operator

Authors

  • behrooz Mohammadiyan Azarbaijan Shahid Madani University
  • Asghar Ahmadkhanlu Azarbaijan Shahid Madani University
  • Mohammad Esmael Samei

Abstract

In this article‎, ‎we investigate the existence of a positive solution for the fractional differential equation with dual derivative and integral boundary conditions and the uniqueness of this solution‎. ‎In this regard‎, ‎we use fixed point theorems in collective operators of Banach spaces‎. ‎Using the results of the main theorem‎, ‎in addition to finding a positive solution‎, ‎we can use an iterative scheme to approximate this differential equation and show this issue with an example‎.

Published

2025-11-09

Issue

Vol. 19

Section

Vol. 19, No. 7, (2025)

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