Delayed analogue of three-parameter Mittag-Leffler functions and their applications to Caputo-type fractional time delay differential equations
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Publication:6617315
DOI10.1002/mma.6761MaRDI QIDQ6617315
Ismail Huseynov, Nazim Idris Mahmudov
Publication date: 10 October 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
existence and uniquenessCaputo fractional derivativepermutable matricesdelayed Mittag-Leffler type matrix functionthree-parameter Mittag-Leffler functionfractional linear time delay system
Fractional derivatives and integrals (26A33) Linear functional-differential equations (34K06) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Unnamed Item
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- Finite time stability of fractional delay differential equations
- Controllability for a class of fractional-order neutral evolution control systems
- Fractional linear systems and electrical circuits
- Positive linear systems with different fractional orders
- Laplace transform and fractional differential equations
- Asymptotic stability of linear fractional systems with constant coefficients and small time-dependent perturbations
- Fractional electromagnetic equations using fractional forms
- A generalized Gronwall inequality and its application to a fractional differential equation
- Control of oscillating systems with a single delay
- Fractional calculus models of complex dynamics in biological tissues
- Anomalous diffusion modeling by fractal and fractional derivatives
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Geometric theory of semilinear parabolic equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Sur la nouvelle fonction \(E_\alpha(x)\).
- On the Cauchy problem for a linear harmonic oscillator with pure delay
- Stability of \(\psi\)-Hilfer impulsive fractional differential equations
- A novel fractional delayed matrix cosine and sine
- Fractional input stability and its application to neural network
- Mittag-Leffler input stability of fractional differential equations and its applications
- Fractional Langevin type delay equations with two fractional derivatives
- A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
- Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis
- On the nonlinear \(varPsi\)-Hilfer fractional differential equations
- Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative
- Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
- On a representation of solutions of linear delay systems
- Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives
- Relative controllability in fractional differential equations with pure delay
- Controllability of nonlinear fractional delay dynamical systems with prescribed controls
- On generalized fractional operators and a gronwall type inequality with applications
- On the impulsive implicit Ψ‐Hilfer fractional differential equations with delay
- Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations
- Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations
- Exponential form for Lyapunov function and stability analysis of the fractional differential equations
- On the Ulam‐Hyers stabilities of the solutions of Ψ‐Hilfer fractional differential equation with abstract Volterra operator
- Mittag-Leffler Functions, Related Topics and Applications
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