Complex transforms for systems of fractional differential equations

DOI10.1155/2012/814759zbMath1257.35194OpenAlexW2029630672WikidataQ58696859 ScholiaQ58696859MaRDI QIDQ1938301

Rabha W. Ibrahim

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/814759

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• Bäcklund transformations for a matrix second Painlevé equation
• On holomorphic solution for space- and time-fractional telegraph equations in complex domain
• Existence and uniqueness of holomorphic solutions for fractional Cauchy problem
• On the starlikeness of certain class of analytic functions
• Analysis of differential equations of fractional order
• New exact travelling wave solutions of some complex nonlinear equations
• Recent history of fractional calculus
• Some aspects of fractional diffusion equations of single and distributed order
• Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional kinetic equation for Hamiltonian chaos
• Variational iteration method for fractional heat- and wave-like equations
• Fox function representation of non-Debye relaxation processes
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Reconstruction of a time-dependent source term in a time-fractional diffusion equation
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• Classes of analytic functions with fractional powers defined by means of a certain linear operator
• Approximate solutions for fractional differential equation in the unit disk
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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