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May 19, 2026Filomat0 citationsOpen Access

On a fully coupled system of nonlinear multi-term fractional differential equations with integral-multipoint boundary conditions

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RARavi AgarwalFlorida Institute of TechnologyHSHafed SaeedNorthwest African American MuseumAAAhmed AlsaediKing Abdulaziz University

Key Points

  • This research aims to investigate a class of boundary value problems for nonlinear fractional differential equations and their solutions.
  • Introduced a fully coupled system of nonlinear multi-term fractional differential equations.
  • Utilized Leray-Schauder’s alternative to establish existence criteria for solutions.
  • Applied Banach’s fixed point theorem for proving uniqueness of solutions.
  • Established existence criteria for solutions to the integral-multipoint boundary value problem.
  • Confirmed uniqueness of solutions through mathematical theorems.
  • Discussed Ulam-Hyers stability with examples to illustrate key findings.

Abstract

We introduce and study a new class of fully coupled integral-multipoint boundary value problems for a system of nonlinear multi-term fractional differential equations. The existence criterion for solutions to the given problem is obtained via Leray-Schauder’s alternative, while the uniqueness of its solutions is accomplished by utilizing Banach’s fixed point theorem. We also discuss the Ulam-Hyers stability for the problem at hand. Examples are included to illustrate the main results. Some new results appearing as special cases of the present ones are also indicated.

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Cite This Study

Agarwal et al. (2025) studied this question.

synapsesocial.com/papers/6a0bfe08166b51b53d3795edhttps://doi.org/10.2298/fil2528827a
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