Results on the existence of solutions for conformable evolution differential equations with non-local conditions

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.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-08-18
DOI
https://doi.org/10.56947/gjom.v20i2.3016
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Results on the existence of solutions for conformable evolution differential equations with non-local conditions

Ahmed Bouchenak, Mazin Aljazzazi, Iqbal M. Batiha, Fakhreddine Seddiki et al.
1 links
Gulf Journal of Mathematics
Differential Equations and Numerical Methods
article

Results on the existence of solutions for conformable evolution differential equations with non-local conditions

Ahmed Bouchenak, Mazin Aljazzazi, Iqbal M. Batiha, Fakhreddine Seddiki, Rasha Ibrahim Hajaj
article en

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.

Gulf Journal of MathematicsVol. 20(2)
University of Jordan (JO), Al-Zaytoonah University of Jordan (JO), Ziane Achour University of Djelfa (DZ), Université Mustapha Stambouli de Mascara (DZ)
Openalex Percentile: Top 69%
Differential Equations and Numerical Methods
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