New problem of sequential differential equations with nonlocal conditions

Bekkouche, Zakaria; Dahmani, Zoubir

doi:10.1080/09720502.2020.1833446

Cited by 2 publications

(1 citation statement)

References 14 publications

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“…The fractional calculus plays a significant role in differential equations and applied sciences. Several researchers have studied structures of differential equations and systems using fractional calculus; for instance, see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Many important and interesting areas concerning research for fractional differential equations and fractional systems are devoted to the existence theory and stability analysis of the solutions.…”

Section: Introductionmentioning

confidence: 99%

Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis

Ganie

Houas

AlBaidani

et al. 2023

Math Methods in App Sciences

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Recently, many studies on fractional coupled systems involving different sequential fractional derivatives have appeared during the past several years. The paper is dealing with a coupled system of three sequential Caputo fractional differential equations, and the designed system absorbs none of the commutativity and the semigroup properties. The Banach contraction principle is used for proving the existence and uniqueness results. We prove the existence of at least one is obtained by using the Leray–Schauder alternative. The Ulam–Hyers–Rassias stability of the considered system is defined and discussed. An illustrative example is also presented.

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