Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions

Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions

In this article we explore the existence, uniqueness, and stability for a coupled symmetric system of fractional differential equation with nonlinear p -Laplacian operator. Existence and uniqueness results are obtained by using the matrix eigenvalue method. Further, we study different types of Hyers...

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Veröffentlicht in:Qualitative theory of dynamical systems 2022-09, Vol.21 (3), Article 92
Hauptverfasser: Waheed, Hira, Zada, Akbar, Rizwan, Rizwan, Popa, Ioan-Lucian
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Difference and Functional Equations
Differential equations
Dynamical Systems and Ergodic Theory
Eigenvalues
Fractional calculus
Laplace transforms
Mathematics
Mathematics and Statistics
Operators (mathematics)
Stability
Uniqueness
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Zusammenfassung:In this article we explore the existence, uniqueness, and stability for a coupled symmetric system of fractional differential equation with nonlinear p -Laplacian operator. Existence and uniqueness results are obtained by using the matrix eigenvalue method. Further, we study different types of Hyers–Ulam stability. In the last section an example concerning the proposed problem is presented.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00624-8