Numerical computation of fractional partial differential equations with variable coefficients utilizing the modified fractional Legendre wavelets and error analysis

[1]  D. Baleanu,et al.  A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems , 2020, Frontiers in Physics.

[2]  Hebertt Sira-Ramírez,et al.  A PASSIVITY PLUS FLATNESS CONTROLLER FOR THE PERMANENT MAGNET STEPPER MOTOR , 2000 .

[3]  D. Baleanu,et al.  A new fractional HRSV model and its optimal control: A non-singular operator approach , 2020 .

[4]  Hong Wang,et al.  A divide-and-conquer fast finite difference method for space-time fractional partial differential equation , 2017, Comput. Math. Appl..

[5]  Mohammad Reza Hooshmandasl,et al.  Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions , 2013 .

[6]  Sunil Kumar,et al.  A new analytical modelling for fractional telegraph equation via Laplace transform , 2014 .

[7]  D. Baleanu,et al.  Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model , 2020, Chaos, Solitons & Fractals.

[8]  Yadollah Ordokhani,et al.  Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet , 2017, J. Comput. Appl. Math..

[9]  B. Jazi,et al.  The description of mode matching method, in electromagnetic wave transmission from a loss free semi-bounded waveguide to the plasma waveguide , 2020, The European Physical Journal Plus.

[10]  Mujeeb ur Rehman,et al.  Haar wavelet Picard method for fractional nonlinear partial differential equations , 2015, Appl. Math. Comput..

[11]  Dongyang Li,et al.  A two-dimensional Chebyshev wavelets approach for solving the Fokker-Planck equations of time and space fractional derivatives type with variable coefficients , 2018, Appl. Math. Comput..

[12]  Wen Chen,et al.  Numerical solution of fractional telegraph equation by using radial basis functions , 2014 .

[13]  Rishi Kumar Pandey,et al.  Numerical simulation for solution of space–time fractional telegraphs equations with local fractional derivatives via HAFSTM , 2017 .

[14]  En-Bing Lin,et al.  Legendre wavelet method for numerical solutions of partial differential equations , 2010 .

[15]  S. S. Sajjadi,et al.  The fractional features of a harmonic oscillator with position-dependent mass , 2020, Communications in Theoretical Physics.

[16]  Jialin Peng,et al.  Image Segmentation via Mean Curvature Regularized Mumford-Shah Model and Thresholding , 2017, Neural Processing Letters.

[18]  Dumitru Baleanu,et al.  Regularization of a terminal value problem for time fractional diffusion equation , 2020, Mathematical Methods in the Applied Sciences.

[19]  Qianting Ma,et al.  A fractional differential fidelity-based PDE model for image denoising , 2017, Machine Vision and Applications.

[20]  A. Elsaid,et al.  Homotopy analysis method for solving a class of fractional partial differential equations , 2011 .

[21]  D. Baleanu,et al.  A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems , 2017 .

[22]  Samaneh Sadat Sajjadi,et al.  A new adaptive synchronization and hyperchaos control of a biological snap oscillator , 2020 .

[23]  A. Gökdogan,et al.  Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method , 2016 .

[24]  Mehdi Dehghan,et al.  High order compact solution of the one‐space‐dimensional linear hyperbolic equation , 2008 .

[25]  Reiji Suda,et al.  Second order accuracy finite difference methods for space-fractional partial differential equations , 2017, J. Comput. Appl. Math..

[26]  A. K. Gupta,et al.  Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation , 2017, Comput. Math. Appl..

[27]  D. Baleanu,et al.  Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus , 2020, Computer Modeling in Engineering & Sciences.

[28]  Vo Viet Tri,et al.  Analysis of the fractional corona virus pandemic via deterministic modeling , 2020, Mathematical Methods in the Applied Sciences.

[29]  Edmund Y. Lam,et al.  Human arm pose modeling with learned features using joint convolutional neural network , 2016, Machine Vision and Applications.

[30]  D. Baleanu,et al.  On the fractional optimal control problems with a general derivative operator , 2019, Asian Journal of Control.

[31]  Ahmed Elsaid.  The variational iteration method for solving Riesz fractional partial differential equations , 2010, Comput. Math. Appl..

[32]  N. Tuan,et al.  On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator , 2019, Mathematical Methods in the Applied Sciences.

[33]  Khaled Omrani,et al.  The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method , 2010, Comput. Math. Appl..

[34]  Jun Wang,et al.  (N+1)-dimensional fractional reduced differential transform method for fractional order partial differential equations , 2017, Commun. Nonlinear Sci. Numer. Simul..

[35]  Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator , 2020 .

[36]  Carlo Cattani,et al.  A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations , 2017, J. Comput. Appl. Math..

[37]  Ahmed M. A. El-Sayed,et al.  The Adomian decomposition method for solving partial differential equations of fractal order in finite domains , 2006 .

[38]  A. Abdipour,et al.  Efficient Method for Time-Domain Analysis of Lossy Nonuniform Multiconductor Transmission Line Driven by a Modulated Signal Using FDTD Technique , 2012, IEEE Transactions on Electromagnetic Compatibility.

[39]  Reinhard Schlickeiser,et al.  Analytical solutions of the space–time fractional Telegraph and advection–diffusion equations , 2018 .