RESULTS ON THE EXISTENCE OF SOLUTIONS FOR CONFORMABLE EVOLUTION DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS

Mazin Aljazzazi; Fakhreddine Seddiki; Iqbal M. Batiha; Ahmed Bouchenak; Rasha I. Hajaj

doi:10.56947/gjom.v20i2.3016

RESULTS ON THE EXISTENCE OF SOLUTIONS FOR CONFORMABLE EVOLUTION DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS

Mazin Aljazzazi
, Fakhreddine Seddiki
, Iqbal M. Batiha
, Ahmed Bouchenak
, Rasha I. Hajaj

Nonlinear Dynamic Research Centre (NDRC)

University of Jordan
University of Djelfa
Al-Zaytoonah University of Jordan
University of Mascara
Near East University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper investigates the existence of solutions for conformable evolution differential equations under non-local conditions. Using fixed-point theory and analytical methods, we establish solution existence for equations involving conformable derivatives, which model systems with memory effects. An example illustrates the practical application of these results in complex dynamical systems.

Original language	English
Pages (from-to)	26-38
Number of pages	13
Journal	Gulf Journal of Mathematics
Volume	20
Issue number	2
DOIs	https://doi.org/10.56947/gjom.v20i2.3016
State	Published - 18 Aug 2025

Keywords

Schauder’s theorem
conformable derivatives
evolution equation
mild solution

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abstract = "This paper investigates the existence of solutions for conformable evolution differential equations under non-local conditions. Using fixed-point theory and analytical methods, we establish solution existence for equations involving conformable derivatives, which model systems with memory effects. An example illustrates the practical application of these results in complex dynamical systems.",

keywords = "Schauder{\textquoteright}s theorem, conformable derivatives, evolution equation, mild solution",

author = "Mazin Aljazzazi and Fakhreddine Seddiki and Batiha, \{Iqbal M.\} and Ahmed Bouchenak and Hajaj, \{Rasha I.\}",

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AU - Seddiki, Fakhreddine

AU - Batiha, Iqbal M.

AU - Bouchenak, Ahmed

AU - Hajaj, Rasha I.

N1 - Publisher Copyright: © The Author(s) 2025.

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Y1 - 2025/8/18

N2 - This paper investigates the existence of solutions for conformable evolution differential equations under non-local conditions. Using fixed-point theory and analytical methods, we establish solution existence for equations involving conformable derivatives, which model systems with memory effects. An example illustrates the practical application of these results in complex dynamical systems.

AB - This paper investigates the existence of solutions for conformable evolution differential equations under non-local conditions. Using fixed-point theory and analytical methods, we establish solution existence for equations involving conformable derivatives, which model systems with memory effects. An example illustrates the practical application of these results in complex dynamical systems.

KW - Schauder’s theorem

KW - conformable derivatives

KW - evolution equation

KW - mild solution

UR - https://www.scopus.com/pages/publications/105014266084

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JO - Gulf Journal of Mathematics

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RESULTS ON THE EXISTENCE OF SOLUTIONS FOR CONFORMABLE EVOLUTION DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS

Abstract

Keywords

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