New results on fractional power series: theories and applications

From MaRDI portal
Publication:280738

DOI10.3390/e15125305zbMath1337.26010OpenAlexW2040987249MaRDI QIDQ280738

Omar Abu Arqub, Shaher Momani, Zeyad Al Zhour, Ahmad El-Ajou

Publication date: 10 May 2016

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e15125305




Related Items (69)

A new approach for the approximate solution of fractional integro-differential equationsRevisited Fisher's equation in a new outlook: a fractional derivative approachA new and elegant approach for solving \(n\times n\)-order linear fractional differential equationsA new computational for approximate analytical solutions of nonlinear time-fractional wave-like equations with variable coefficientsSolution of fractional partial differential equations using fractional power series methodAn iterative method for time-fractional Swift-Hohenberg equationApproximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series methodOn analytical solutions of the fractional differential equation with uncertainty: application to the Basset problemA general form of the generalized Taylor's formula with some applicationsA novel expansion iterative method for solving linear partial differential equations of fractional orderAnalytical solution for the time fractional BBM-Burger equation by using modified residual power series methodAn efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciencesApproximate solutions of time fractional Kawahara equation by utilizing the residual power series methodAnalytic solution for the strongly nonlinear multi-order fractional version of a BVP occurring in chemical reactor theoryA novel scheme for solving Caputo time-fractional nonlinear equations: theory and applicationApplication of residual power series method to fractional coupled physical equations arising in fluids flowComputational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equationsA numerical solution of fractional Lienard's equation by using the residual power series methodApproximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithmConstructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equationsA reliable treatment of residual power series method for time-fractional Black-Scholes European option pricing equationsAn efficient analytical-numerical technique for handling model of fuzzy differential equations of fractional-orderAsymptotic solutions of time-space fractional coupled systems by residual power series methodTwo efficient methods for solving fractional Lane-Emden equations with conformable fractional derivativeAn efficient approximate method for solving delay fractional optimal control problemsResidual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problemsAn avant-garde handling of temporal-spatial fractional physical modelsUnnamed ItemGeneralized fractional power series solutions for fractional differential equationsA novel approach for the solution of fractional diffusion problems with conformable derivativeOn the numerical solution of conformable fractional diffusion problem with small delayNumerical solutions for solving model time‐fractional<scp>Fokker–Planck</scp>equationA different modelling of complex Hasimoto map for pseudo-null curves via Bishop frameA class of linear non-homogenous higher order matrix fractional differential equations: analytical solutions and new techniqueANALYSIS OF THE CONFORMABLE TEMPORAL-FRACTIONAL SWIFT–HOHENBERG EQUATION USING A NOVEL COMPUTATIONAL TECHNIQUEA generalized Taylor operational matrix method for ψ‐fractional differential equationsNumerical solutions of fractional Burgers' type equations with conformable derivativeANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHODAnalytic solution of homogeneous time-invariant fractional IVPBifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV systemA novel representation of the exact solution for differential algebraic equations system using residual power-series methodAnalytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equationAsymptotic-sequentially solution style for the generalized Caputo time-fractional Newell-Whitehead-Segel systemOptimal quadrature formulas of Euler-Maclaurin typeThe analysis of fractional-order Navier-Stokes model arising in the unsteady flow of a viscous fluid via Shehu transformAsymptotic expansion of the solutions to time-space fractional Kuramoto-Sivashinsky equationsAnalytical solutions of fractional foam drainage equation by residual power series methodTheory and applications of a more general form for fractional power series expansionLeast-squares residual power series method for the time-fractional differential equationsA residual power series technique for solving Boussinesq–Burgers equationsThe new semianalytical technique for the solution of fractional-order Navier-Stokes equationConstruction of fractional power series solutions to fractional Boussinesq equations using residual power series methodAnalytical solution of the fractional initial Emden-Fowler equation using the fractional residual power series methodNew computational method for solving fractional Riccati equationAN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONSAn analytical framework of 2D diffusion, wave-like, telegraph, and Burgers' models with twofold Caputo derivatives orderingFurther properties of Osler's generalized fractional integrals and derivatives with respect to another functionSolution of the fractional Bratu-type equation via fractional residual power series methodApplication of Adomian decomposition method to nonlinear systemsAn approximate similarity solution for spatial fractional boundary-layer flow over an infinite vertical plateAn analytical numerical method for solving fuzzy fractional Volterra integro-differential equationsA GENERALIZED FRACTIONAL POWER SERIES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONSSolitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivativeOn soliton solutions of time fractional form of Sawada-Kotera equationNumerical and analytical simulations of nonlinear time fractional advection and Burger's equationsSelection of shape parameter in radial basis functions for solution of time-fractional Black-Scholes modelsA new approach for space-time fractional partial differential equations by residual power series methodSolutions of Fractional Verhulst Model by Modified Analytical and Numerical ApproachesNumerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis



Cites Work


This page was built for publication: New results on fractional power series: theories and applications