From Newton's equation to fractional diffusion and wave equations

DOI10.1155/2011/169421zbMath1213.26012OpenAlexW2106398038WikidataQ59266919 ScholiaQ59266919MaRDI QIDQ537163

Yong-Cai Geng, Sumit K. Garg

Publication date: 19 May 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233773

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (13)

A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel ⋮ Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel ⋮ Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative ⋮ A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems ⋮ Second-order stable finite difference schemes for the time-fractional diffusion-wave equation ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations ⋮ Newton's method with fractional derivatives and various iteration processes via visual analysis ⋮ Modelling of fluid flow through porous media using memory approach: a review ⋮ The \(N\)-link pendulum: embedding nonlinear dynamics into the multidimensional scaling method ⋮ Circuit implementation of a piezoelectric buckled beam and its response under fractional components considerations ⋮ New aspects of fractional Biswas–Milovic model with Mittag-Leffler law ⋮ From radiation and space exploration to the fractional calculus

Cites Work

• The dynamical nature of a backlash system with and without fluid friction
• The Hamilton formalism with fractional derivatives
• Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. II: Study of the individual phenomena
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractionally coupled solutions of the diffusion equation.
• Chaos, fractional kinetics, and anomalous transport
• Fractional differencing and long memory processes
• An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like
• New Trends in Nanotechnology and Fractional Calculus Applications
• Fundamentals of Radar Imaging
• Sources and Applications of Integral Equations
• Diffractals
• On the solution of fractional evolution equations
• On complex singularities of solutions of the equation ℋu_x-u+u^p= 0
• A PANORAMIC VIEW OF SOME PERTURBED NONLINEAR WAVE EQUATIONS
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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