Existence and stability for a nonlinear hybrid differential equation of fractional order via regular Mittag–Leffler kernel
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Publication:6140784
DOI10.1002/mma.7349OpenAlexW3139465926WikidataQ129221622 ScholiaQ129221622MaRDI QIDQ6140784
Ibrahim Slimane, Zoubir Dahmani, Juan. J. Nieto, Thabet Abdeljawad
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7349
Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Fractional ordinary differential equations (34A08) Hybrid systems of ordinary differential equations (34A38)
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Some new properties of the Mittag-Leffler functions and their applications to solvability and stability of a class of fractional Langevin differential equations ⋮ A fractional‐order hybrid system of differential equations: Existence theory and numerical solutions
Cites Work
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- A latency fractional order model for HIV dynamics
- A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
- Theory of fractional hybrid differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Boundary value problems for hybrid differential equations with fractional order
- Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation
- Nonlinear dynamics and chaos in fractional-order neural networks
- The role of fractional calculus in modeling biological phenomena: a review
- Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel
- A new adaptive synchronization and hyperchaos control of a biological snap oscillator
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- On some new properties of fractional derivatives with Mittag-Leffler kernel
- A new collection of real world applications of fractional calculus in science and engineering
- Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- On a fixed point theorem in Banach algebras with applications
- Distributed-Order Dynamic Systems
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Ulam stability and data dependence for fractional differential equations with Caputo derivative
- New Trends in Nanotechnology and Fractional Calculus Applications
- A complex analysis approach to Atangana–Baleanu fractional calculus
- Fractional Calculus: Integral and Differential Equations of Fractional Order
