Research graph
References from Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2006 · External reference
Fractional calculus: some basic problems in continuum and statistical mechanics
10.1007/978-3-7091-2664-6_7 · 1997 · External reference
Application of fractional calculus to fluid mechanics
10.1115/1.1478062 · 2002 · External reference
Fractional calculus in viscoelasticity: an experimental study
10.1016/j.cnsns.2009.05.004 · 2010 · External reference
Long memory processes and fractional integration in econometrics
10.1016/0304-4076(95)01732-1 · 1996 · External reference
On fractional calculus and fractional multipoles in electromagnetism
10.1109/8.489308 · 1996 · External reference
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames
10.1007/s10231-003-0085-1 · 2004 · External reference
10.1016/j.rinam.2020.100115 · 2020 · Admitted local publication
10.1016/j.rinam.2020.100133 · 2021 · Admitted local publication
Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications
2020 · External reference
Novel simulations to the time-fractional Fisher’s equation
10.1007/s40096-019-0276-6 · 2019 · External reference
New complex and hyperbolic function solutions to the generalized double combined Sinh–Cosh–Gordon equation
10.1063/1.4972610 · 2017 · External reference
New results on non-densely characterized integro-differential equations with fractional order
10.1140/epjp/i2018-11966-3 · 2018 · External reference
Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling
10.1016/j.chaos.2020.109991 · 2020 · External reference
On the dynamical modeling of Covid-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations
10.1016/j.chaos.2020.110171 · 2020 · External reference
An efficient method based on framelets for solving fractional Volterra integral equations
10.3390/e22080824 · 2020 · External reference
Applications of bi-framelet systems for solving fractional order differential equations
10.1142/s0218348x20400514 · 2020 · External reference
A collocation method via the quasi-affine biorthogonal systems for solving weakly singular type of Volterra-Fredholm integral equations
10.1016/j.aej.2020.01.046 · 2020 · External reference
Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the Kernel
2009 · External reference
Application of variational iteration method to nonlinear differential equations of fractional order
10.1515/ijnsns.2006.7.1.27 · 2006 · External reference
Numerical solutions for systems of fractional differential equations by the decomposition method
2005 · External reference
Solution of fractional integro-differential equations by using fractional differential transform method
10.1016/j.chaos.2007.08.001 · 2009 · External reference
An operational method for solving fractional differential equations with the Caputo derivatives
1999 · External reference
Solving Abel’s type integral equation with Mikusinski’s operator of fractional order
10.1155/2013/806984 · 2013 · External reference
Operational solution of fractional differential equations
10.1016/j.aml.2014.02.011 · 2014 · External reference
Solving multi-order linear and non-linear fractional differential equations using Chebyshev wavelets
2014 · External reference
Numerical solution of the convection diffusion equation by the Legendre wavelet method
2019 · External reference
Haar wavelet solutions of nonlinear oscillator equations
10.1016/j.apm.2014.03.019 · 2014 · External reference
Haar wavelet method for nonlinear integro-differential equations
2006 · External reference
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
10.1016/j.cam.2008.07.003 · 2009 · External reference
A numerical approach for solving boundary value problems for fractional differential equations using Shannon wavelet
2016 · External reference
10.1016/j.rinam.2020.100139 · 2021 · Admitted local publication
Numerical solution of fractional relaxation-oscillation equation using Cubic B-spline wavelet collocation method
2016 · External reference
Approximate controllability of sub-diffusion equation with impulsive condition
10.3390/math7020190 · 2019 · External reference
General fractional-order anomalous diffusion with non-singular power-law kernel
10.2298/tsci170610193y · 2017 · External reference
Analytical solutions for heat diffusion beyond fourier law
2017 · External reference
Kronecker operational matrices for fractional calculus and some applications
2007 · External reference
Haar wavelet method for solving Fisher’s equation
2009 · External reference
Solution of higher order volterra integro-differential equations by Legendre wavelets
2015 · External reference
Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
10.1016/j.apm.2014.04.064 · 2014 · External reference
Hybrid functions approach for nonlinear constrained optimal control problems
10.1016/j.cnsns.2011.09.008 · 2012 · External reference
Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations
10.1016/j.rinp.2019.102836 · 2020 · External reference
A numerical solution for fractional optimal control problems via Bernoulli polynomials
10.1177/1077546314567181 · 2016 · External reference
Fractional-order Bernoulli wavelets and their applications
10.1016/j.apm.2016.04.026 · 2016 · External reference
Generalized fractional-order Bernoulli-Legendre functions: An effective tool for solving two-dimensional fractional optimal control problems
10.1093/imamci/dnx041 · 2019 · External reference
Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
10.1016/j.apnum.2017.08.002 · 2017 · External reference
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
2017 · External reference
A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
10.1002/num.22279 · 2019 · External reference
Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
10.1016/j.aml.2015.02.010 · 2015 · External reference
Method of approximate particular solutions for constant and variable order fractional diffusion models
10.1016/j.enganabound.2014.09.003 · 2015 · External reference
Stability and convergence of a new explicit finite-difference approximation for the variable order nonlinear fractional diffusion equation
2009 · External reference
