QUALITATIVE ANALYSIS OF IMPLICIT DELAY MITTAG-LEFFLER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0218348X22402083OpenAlexW4306180877MaRDI QIDQ5880644

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Publication date: 6 March 2023

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22402083

zbMATH Keywords

existence and uniquenessKrasnoselskii fixed point theoremstability resultsnon-singular kernel

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27) Implicit functional-differential equations (34K32)

Cites Work

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• A uniform method to Ulam-Hyers stability for some linear fractional equations
• Existence and stability of fractional differential equations with Hadamard derivative
• Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
• Fractional differential equations in electrochemistry
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional derivatives with no-index law property: application to chaos and statistics
• Solving fractional delay differential equations: a new approach
• Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
• A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
• Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs
• A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
• A numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative
• Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system
• An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations
• Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
• A new derivative with normal distribution kernel: theory, methods and applications
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel
• Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
• Non-local fractional calculus from different viewpoint generated by truncated \(M\)-derivative
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Delay Differential Equations
• On the Stability of the Linear Mapping in Banach Spaces
• Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel
• Solving FDEs with Caputo‐Fabrizio derivative by operational matrix based on Genocchi polynomials
• Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals
• Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
• Existence of solution for a fractional‐order Lotka‐Volterra reaction‐diffusion model with Mittag‐Leffler kernel
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

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