Solving systems of coupled nonlinear Atangana-Baleanu-type fractional differential equations (Q6099730)

scientific article; zbMATH DE number 7699520

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English	Solving systems of coupled nonlinear Atangana-Baleanu-type fractional differential equations	scientific article; zbMATH DE number 7699520

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instance of

scholarly article

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title

Solving systems of coupled nonlinear Atangana-Baleanu-type fractional differential equations (English)

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Boundary Value Problems

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publication date

20 June 2023

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zbMATH Keywords

Atangana-Baleanu-type

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fractional differential equation

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fixed point technique

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boundary value problem

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Ulam-Hyers stability

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MaRDI profile type

MaRDI publication profile

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cites work

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q5699297

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Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

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Quaternion fourier integral operators for spaces of generalized quaternions

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Q2735592

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Formulation of Euler-Lagrange equations for fractional variational problems

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Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators

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A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel

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Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

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On fractional derivatives with exponential kernel and their discrete versions

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On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative

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Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

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Chua's circuit model with Atangana-Baleanu derivative with fractional order

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On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation

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Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator

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Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

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Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations

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On high order fractional integro-differential equations including the Caputo-Fabrizio derivative

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Numerical approach of Fokker-Planck equation with Caputo-Fabrizio fractional derivative using Ritz approximation

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The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)

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The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

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Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations

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On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative

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Q5185568

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A fixed-point theorem of Krasnoselskii

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Identifiers

zbMATH Open document ID

1512.34009

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Mathematics Subject Classification ID

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10.1186/S13661-022-01684-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6099730