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2018, 1, ISBN 9781315167183, Volume 1, xxxvii, 273 pages
The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in... 
Wavelets (Mathematics) | Fractional differential equations | Differential equations, Partial | Numerical solutions | Differential equations | Differential Equations | Applied Mathematics | Mathematical Physics | Computational Numerical Analysis
Book
Journal of Computational Physics, ISSN 0021-9991, 02/2016, Volume 307, pp. 243 - 261
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 03/2018, Volume 357, pp. 125 - 141
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2018, Volume 336, pp. 433 - 453
Journal Article
by Lu, Bin
Physics Letters A, ISSN 0375-9601, 06/2012, Volume 376, Issue 28-29, pp. 2045 - 2048
In this Letter, the fractional derivatives in the sense of modified Riemann–Liouville derivative and the Bäcklund transformation of fractional Riccati equation... 
Fractional differential equation | Bäcklund transformation | Fractional Riccati equation | Exact solution | Backlund transformation | PHYSICS, MULTIDISCIPLINARY | Differential equations | Partial differential equations | Mathematical analysis | Solid state physics | Nonlinearity | Transformations | Derivatives | Riccati equation
Journal Article
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 09/2015, Volume 125, Issue 9, pp. 3301 - 3326
We consider non-linear time-fractional stochastic heat type equation ∂tβut(x)=−ν(−Δ)α/2ut(x)+It1−β[σ(u)W⋅(t,x)] in (d+1) dimensions, where ν>0,β∈(0,1), α∈(0,2]... 
Time-fractional stochastic partial differential equations | Fractional Duhamel’s principle | Caputo derivatives | Walsh isometry | Fractional Duhamel's principle | STATISTICS & PROBABILITY | DUHAMELS PRINCIPLE | Analysis | Differential equations
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 01/2019, Volume 95, Issue 1, pp. 361 - 368
The nonlinear space-time fractional differential equations (FDE) of Burgers' type play an important role for describing many phenomena in applied sciences.... 
Fractional partial differential equations | Kudryashov method | Burgers | CLASSIFICATION | MECHANICS | ENGINEERING, MECHANICAL | Methods | Differential equations | Ordinary differential equations | Traveling waves | Partial differential equations | Mathematical analysis
Journal Article