Reproducing kernel method to solve non-local fractional boundary value problem
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Tofigh Allahviranloo | Esmail Babolian | Saeid Abbasbandy | Raziye Mohammad Hosseiny | S. Abbasbandy | T. Allahviranloo | E. Babolian
[1] Tofigh Allahviranloo,et al. Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay , 2019, Appl. Math. Comput..
[2] T. Allahviranloo,et al. Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions , 2020, Numerical Methods for Partial Differential Equations.
[3] Z. Avazzadeh,et al. An improved localized radial basis-pseudospectral method for solving fractional reaction–subdiffusion problem , 2021 .
[4] Esmail Babolian,et al. Some error estimates for solving Volterra integral equations by using the reproducing kernel method , 2015, J. Comput. Appl. Math..
[5] José António Tenreiro Machado,et al. Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics , 2020, J. Comput. Phys..
[6] I. Podlubny. Fractional differential equations , 1998 .
[7] Minggen Cui,et al. Nonlinear Numerical Analysis in Reproducing Kernel Space , 2009 .
[8] Zhanbing Bai,et al. On positive solutions of a nonlocal fractional boundary value problem , 2010 .
[9] Esmail Babolian,et al. A splitting iterative method for solving second kind integral equations in reproducing kernel spaces , 2017, J. Comput. Appl. Math..
[10] Zhiyuan Li,et al. Solving a class of linear nonlocal boundary value problems using the reproducing kernel , 2015, Appl. Math. Comput..
[11] Tofigh Allahviranloo,et al. Implementing reproducing Kernel method to solve singularly perturbed convection-diffusion parabolic Problems , 2021, Math. Model. Anal..
[12] Boying Wu,et al. A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions , 2018, Appl. Math. Lett..
[13] M. Javidi,et al. Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme , 2020, Comput. Appl. Math..
[14] K. Atkinson,et al. Theoretical Numerical Analysis: A Functional Analysis Framework , 2001 .
[15] Jianhua Shen,et al. Boundary value problems involving upper and lower solutions in reverse order , 2009 .
[16] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[17] Fazhan Geng,et al. A reproducing kernel method for solving nonlocal fractional boundary value problems , 2012, Appl. Math. Lett..
[18] N. Tuan,et al. A novel numerical manner for two‐dimensional space fractional diffusion equation arising in transport phenomena , 2020, Numerical Methods for Partial Differential Equations.
[19] J. F. Gómez‐Aguilar,et al. Shifted Chebyshev collocation of the fourth kind with convergence analysis for the space–time fractional advection-diffusion equation , 2020, Engineering with Computers.
[20] Zhong Chen,et al. Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems , 2010, Int. J. Comput. Math..
[21] Francesco Mainardi,et al. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.
[22] X. Y. Li,et al. Error estimation for the reproducing kernel method to solve linear boundary value problems , 2013, J. Comput. Appl. Math..
[23] Wang Yulan,et al. New algorithm for second-order boundary value problems of integro-differential equation , 2009 .
[24] Hussein A. H. Salem,et al. On the fractional order m-point boundary value problem in reflexive Banach spaces and weak topologies , 2009 .
[25] Xiaona Li,et al. A new method for solving singular fourth-order boundary value problems with mixed boundary conditions , 2011, Appl. Math. Comput..
[26] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[27] Rahmat Ali Khan,et al. Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations , 2010, Appl. Math. Lett..
[28] Xiuying Li,et al. Approximate analytical solutions of nonlocal fractional boundary value problems , 2015 .
[29] K. Diethelm. The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .
[30] A. Kilbas,et al. Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions , 2005 .
[31] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[32] Z. Avazzadeh,et al. A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer , 2021, Journal of advanced research.
[33] Esmail Babolian,et al. Error analysis of reproducing kernel Hilbert space method for solving functional integral equations , 2016, J. Comput. Appl. Math..
[34] Ziyang Li,et al. Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions , 2013, Appl. Math. Comput..
[35] H. Mesgarani,et al. The impact of the Chebyshev collocation method on solutions of the time-fractional Black–Scholes , 2020 .
[36] Bashir Ahmad,et al. On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order , 2010, Appl. Math. Comput..
[37] Zakieh Avazzadeh,et al. Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport , 2021, Commun. Nonlinear Sci. Numer. Simul..
[38] Tofigh Allahviranloo,et al. Reproducing kernel method to solve fractional delay differential equations , 2021, Appl. Math. Comput..
[39] S. Abbasbandy,et al. Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space , 2020 .
[40] E. Ahmed,et al. On fractional order differential equations model for nonlocal epidemics , 2007, Physica A: Statistical Mechanics and its Applications.
[41] M. Benchohra,et al. Boundary value problems for differential equations with fractional order and nonlocal conditions , 2009 .
[42] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[43] Wenyong Zhong,et al. Computers and Mathematics with Applications Nonlocal and Multiple-point Boundary Value Problem for Fractional Differential Equations , 2022 .
[44] Tofigh Allahviranloo,et al. Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space , 2018, J. Comput. Appl. Math..