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

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Mazin Aljazzazi
Fakhreddine Seddiki
Iqbal Batiha
Ahmed Bouchenak
Rasha Ibrahim Hajaj

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.

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Results on the existence of solutions for conformable evolution differential equations with non-local conditions. (2025). Gulf Journal of Mathematics, 20(2), 26-38. https://doi.org/10.56947/gjom.v20i2.3016