Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions

Muath Awadalla; Murugesan Manigandan; Abdellatif Ben Makhlouf

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Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions

机译：Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions

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In this paper, we present the existence and the stability results for a nonlinear coupled system of sequential fractional differential equations supplemented with a new kind of coupled boundary conditions. Existence and uniqueness results are established by using Schaefer’s fixed point theorem and Banach’s contraction mapping principle. We examine the stability of the solutions involved in the Hyers–Ulam type. A few examples are presented to illustrate the main results.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第28期|1.1-1.15|共15页
作者
Muath Awadalla; Murugesan Manigandan; Abdellatif Ben Makhlouf;
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Department of Mathematics and Statistics College of Science King Faisal University Hafuf Al Ahsa 31982;

Department of Mathematics Sri Ramakrishna Mission Vidyalaya College of Arts and Science Coimbatore Tamil Nadu;

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Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions

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