Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations
From MaRDI portal
Publication:5114516
DOI10.1007/978-3-030-11662-0_14zbMath1440.76132OpenAlexW2912036748MaRDI QIDQ5114516
Amit Kumar, Bhuvnesh Sharma, Sunil Kumar, Juan. J. Nieto
Publication date: 24 June 2020
Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-11662-0_14
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Gas dynamics (general theory) (76N15) Fractional derivatives and integrals (26A33)
Related Items (4)
A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative ⋮ A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment ⋮ A study on fractional predator–prey–pathogen model with <scp>Mittag–Leffler</scp> kernel‐based operators ⋮ Analysis of non-singular fractional bioconvection and thermal memory with generalized Mittag-Leffler kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adomian decomposition method for non-smooth initial value problems
- A new analysis for the Keller-Segel model of fractional order
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Approximate analytical solutions of fractional gas dynamic equations
- Applications of He's principles to partial differential equations
- Notes on the homotopy analysis method: some definitions and theorems
- Relationship between the homotopy analysis method and harmonic balance method
- An analytic solution for the space-time fractional advection-dispersion equation using the optimal homotopy asymptotic method
- Application of the optimal homotopy asymptotic method for solving a strongly nonlinear oscillatory system
- The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
- Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- Homotopy analysis method: A new analytical technique for nonlinear problems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions.
- On the homotopy analysis method for nonlinear problems.
- Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
- Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
- Irving-Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel
- A new derivative with normal distribution kernel: theory, methods and applications
- Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel
- On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel
- New analytical method for gas dynamics equation arising in shock fronts
- Beyond Perturbation
- A New Approach to the Gas Dynamics Equation: An Application of the Decomposition Method
- On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method
- Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
- An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials
- A nonlinear fractional model to describe the population dynamics of two interacting species
- Advances in Fractional Calculus
This page was built for publication: Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations
