A study on fractional Klein Gordon equation with non-local and non-singular kernel
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Publication:2213839
DOI10.1016/j.chaos.2019.06.010zbMath1448.35549OpenAlexW2950530637MaRDI QIDQ2213839
Publication date: 3 December 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.06.010
stability analysisexistence and uniquenesstime-dependent PDEABC fractional derivativenumerical simulation of PDEs
Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order
- A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
- A convergent algorithm for solving higher-order nonlinear fractional boundary value problems
- Fractional differential equations for the generalized Mittag-Leffler function
- Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality
- Minkowski's inequality for the AB-fractional integral operator
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Numerical simulations of multilingual competition dynamics with nonlocal derivative
- Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
- Numerical patterns in system of integer and non-integer order derivatives
- Numerical patterns in reaction-diffusion system with the Caputo and Atangana-Baleanu fractional derivatives
- Chaotic behaviour in system of noninteger-order ordinary differential equations
- On the stability of wave equation
- Fractional-order Legendre-collocation method for solving fractional initial value problems
- Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense
- Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
