A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets

[1]  A. Cohen Numerical Analysis of Wavelet Methods , 2003 .

[2]  Boying Wu,et al.  A new reproducing kernel method for variable order fractional boundary value problems for functional differential equations , 2017, J. Comput. Appl. Math..

[3]  Zhong Chen,et al.  Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space , 2018 .

[4]  N. Ford,et al.  Analysis of Fractional Differential Equations , 2002 .

[5]  Shiva Sharma,et al.  Comparative study of three numerical schemes for fractional integro-differential equations , 2017, J. Comput. Appl. Math..

[6]  Bradley K. Alpert,et al.  Adaptive solution of partial di erential equations in multiwavelet bases , 2002 .

[7]  M. Shitikova,et al.  Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .

[8]  Jinjiao Hou,et al.  A reproducing kernel method for solving heat conduction equations with delay , 2020, Appl. Math. Lett..

[9]  H. Brezis Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .

[10]  Mehdi Dehghan,et al.  Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets , 2014 .

[11]  Mehdi Dehghan,et al.  Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets , 2011, J. Comput. Appl. Math..

[12]  Omar Abu Arqub,et al.  Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations , 2019, Chaos, Solitons & Fractals.

[13]  Mehdi Dehghan,et al.  A Legendre collocation method for fractional integro-differential equations , 2011 .

[14]  Xiaohua Ding,et al.  A stable minimal search method for solving multi-order fractional differential equations based on reproducing kernel space , 2021, Numer. Algorithms.

[15]  Fazhan Geng,et al.  A reproducing kernel method for solving nonlocal fractional boundary value problems , 2012, Appl. Math. Lett..

[16]  Shouzhi Yang,et al.  Construction of biorthogonal multiwavelets , 2002 .

[17]  Minqiang Xu,et al.  An efficient reproducing kernel method for solving the Allen-Cahn equation , 2019, Appl. Math. Lett..

[18]  V. E. Tarasov Fractional integro-differential equations for electromagnetic waves in dielectric media , 2009, 1107.5892.

[19]  Minqiang Xu,et al.  A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems , 2021 .

[20]  Hui Li,et al.  A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations , 2018, Comput. Math. Appl..

[21]  Zhong Chen,et al.  A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation , 2020, Appl. Math. Lett..

[22]  Chengming Huang,et al.  Spectral collocation method for linear fractional integro-differential equations , 2014 .

[23]  Richard T. Baillie,et al.  Long memory processes and fractional integration in econometrics , 1996 .

[24]  W. Dahmen,et al.  Biorthogonal Spline Wavelets on the Interval—Stability and Moment Conditions , 1999 .

[25]  Xiuying Li,et al.  Reproducing kernel functions-based meshless method for variable order fractional advection-diffusion-reaction equations , 2020 .

[26]  Y. Meyer,et al.  Wavelets: Calderón-Zygmund and Multilinear Operators , 1997 .

[27]  Hong Du,et al.  A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel , 2020 .

[28]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .

[29]  Rick Archibald,et al.  Adaptive discontinuous Galerkin methods in multiwavelets bases , 2011 .

[30]  Xiaoguang Zhang,et al.  A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations , 2020 .

[31]  S. Joe Christin Mary,et al.  Numerical method for a non-local boundary value problem with Caputo fractional order , 2021 .

[32]  Minqiang Xu,et al.  An efficient method for fractional nonlinear differential equations by quasi‐Newton's method and simplified reproducing kernel method , 2018 .

[33]  E. A. Rawashdeh,et al.  Numerical solution of fractional integro-differential equations by collocation method , 2006, Appl. Math. Comput..

[34]  George Pan,et al.  Wavelets in Electromagnetics and Device Modeling , 2003 .

[35]  George W. Pan,et al.  Wavelets in Electromagnetics and Device Modeling: Pan/Wavelets in Electromagnetics and Device Modeling , 2003 .