A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5663
Abstract: In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding the numerical solutions of the fractional integro‐differential equations with weakly singular kernels. The properties of Taylor wavelets are given,… read more here.
Keywords: taylor wavelets; numerical algorithm; algorithm based; fast numerical ... See more keywords
On Nonlinear Fractional Integro–Differential Equations with Positive Constant Coefficient
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1325-y
Abstract: The aim of this study is to investigate the existence and other properties of solution of nonlinear fractional integro–differential equations with constant coefficient. Also with the help of Pachpatte’s inequality, we prove the continuous dependence… read more here.
Keywords: constant coefficient; integro differential; nonlinear fractional; differential equations ... See more keywords
An improved collocation method for solving a fractional integro-differential equation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01409-y
Abstract: In the paper, an improved collocation method is proposed for solving a linear fractional integro-differential equation. The method is proposed by improving the residual to vanish and require the residual to the minimum in sense… read more here.
Keywords: method; fractional integro; improved collocation; integro differential ... See more keywords
On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0421-4
Abstract: We study a boundary value problem of sequential fractional differential equations equipped with nonlocal integral boundary conditions (strip conditions of finite arbitrary size) involving the first-order derivative of the unknown function. As a variant problem,… read more here.
Keywords: boundary conditions; nonlocal integral; integral boundary; differential equations ... See more keywords
Numerical schemes for a class of tempered fractional integro-differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.05.026
Abstract: Abstract For a class of tempered fractional integro-differential equation of the Caputo type, a comparative study of three numerical schemes is presented in this paper. The schemes discussed are Linear, Quadratic and Quadratic-Linear schemes. Four… read more here.
Keywords: integro differential; tempered fractional; numerical schemes; fractional integro ... See more keywords
A novel high order compact ADI scheme for two dimensional fractional integro-differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.05.008
Abstract: Abstract In this paper, we study the numerical method for two dimensional fractional integro-differential equations, where the order of time fractional derivative α ∈ ( 1 , 2 ) and integral order γ ∈ (… read more here.
Keywords: integro differential; order; differential equations; dimensional fractional ... See more keywords
Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1219-8
Abstract: This paper considers the boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses. Some sufficient conditions of the existence and uniqueness are obtained by means of the… read more here.
Keywords: class fractional; value; value problem; problem class ... See more keywords
Existence and uniqueness of the global solution for a class of nonlinear fractional integro-differential equations in a Banach space
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2076-6
Abstract: In this paper, by employing fixed point theory, we investigate the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach space. read more here.
Keywords: integro differential; class nonlinear; nonlinear fractional; differential equations ... See more keywords
Unique Solution for Multi-point Fractional Integro-Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2019-0042
Abstract: Abstract We study a fractional integro-differential equation subject to multi-point boundary conditions: D0+αu(t)+f(t,u(t),Tu(t),Su(t))=b, t∈(0,1),u(0)=u′(0)=⋯=u(n−2)(0)=0,D0+pu(t)|t=1=∑i=1maiD0+qu(t)|t=ξi, $$\left\{\begin{array}{l} D^\alpha_{0^+} u(t)+f(t,u(t),Tu(t),Su(t))=b,\ t\in(0,1),\\u(0)=u^\prime(0)=\cdots=u^{(n-2)}(0)=0,\\ D^p_{0^+}u(t)|_{t=1}=\sum\limits_{i=1}^m a_iD^q_{0^+}u(t)|_{t=\xi_i},\end{array}\right.$$ where α∈(n−1,n], n∈N, n≥3, ai≥0, 00 $\alpha\in (n-1,n],\ n\in \textbf{N},\ n\geq 3,\ a_i\geq 0,\ 0 read more here.
Keywords: integro differential; multi point; unique solution; fractional integro ... See more keywords
Common Fixed-Points Technique for the Existence of a Solution to Fractional Integro-Differential Equations via Orthogonal Branciari Metric Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14091859
Abstract: The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular α-orbital admissible mapping in… read more here.
Keywords: integro differential; fractional integro; differential equations; via orthogonal ... See more keywords