Laplace inverse and MR approach to existence of a unique solution and the Hyers-Ulam-Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers
DOI10.1186/s13660-022-02869-yzbMath1509.34078OpenAlexW4303415500MaRDI QIDQ6038922
Chen Kuan Li, Zahra Eidinejad, Reza Saadati
Publication date: 3 May 2023
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-022-02869-y
alternative fixed point theoremLaplace inverse transformHyers-Ulam-Wright stabilitymatrix-valued FB-spacesnonhomogeneous fractional delay oscillation equation
Fractional derivatives and integrals (26A33) Laplace transform (44A10) Applications of operator theory to differential and integral equations (47N20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Representation of a solution of the Cauchy problem for an oscillating system with pure delay
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Exact solutions and Hyers-Ulam stability for fractional oscillation equations with pure delay
- Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
- Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations
- Relative Controllability in Systems with Pure Delay
- A fixed point theorem of the alternative, for contractions on a generalized complete metric space
- An efficient tool for solving two‐dimensional fuzzy fractional‐ordered heat equation
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