Moreover, we studied some examples on partial differential equation with Caputo-Fabrizio derivative.doi:10.7153/fdc-2023-13-09MELHA, KHELLAF OULDDJILALI, MEDJAHEDCHINCHANE, VAIJANATH L.Fractional Differential Calculus
Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lya... R Agarwal,S Hristova,D O’Regan - 《Electronic Journal of Differential Equations》 被引量: 7发表: 2016年 NON-...
This paper is concerned with the numerical solutions of a two-dimensional space-timefractional differential equation used to model the dynamic properties of complex systems governedby anomalous diffusion. The space-time fractional anomalous diffusion equation is definedby replacing the second order space ...
An autonomous Caputo fractional differential equation of order α∈ (0,1) in a finite dimensional space whose vector field satisfies a global Lipschitz condition is shown to generate a semi-dynamical system in the function space C of continuous functions with the topology uniform convergence on comp...
M., Wolanski N., Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames, Annali Di Matematica Pura Ed Applicata, 2004, 183(7): 173–239.[15] Li C. P., Zeng F. H., Finite difference methods for fractional differential equations, ...
Caputo fractional derivativepositive solutionsp-Laplacianmonotone iterative techniqueIn this article, the existence of positive solutions is considered for nonlinear four-point Caputo fractional differential equation with p-Laplacian operator. We use the monotone iterative technique to acquire the existence of...
Numerical algorithms for Caputo fractional-order differential equationsFractional calculusCaputo differential equationnonzero initial value problemnumerical algorithmThe initial value problems (IVPs) of Caputo fractional-order differential equations are very important in control systems modelling and simulation. A ...
This manuscript is concerned about the study of the existence and uniqueness of solutions for fractional differential equation involving Caputo Hadamard fractional operator of order 1 < ≤ 2 with impulsive boundary conditions. The existence results are established firstly through the Banach Contraction Prin...
In this paper, the existence and uniqueness of solution to Caputo–Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too. Then, Euler and predictor–corrector methods are built up to solve Caputo–Hadamard FDE. The stability and error analysis of th...
Keywords:ordinary differential equation;Caputo fractional derivative;positive solution;monotone iteratiation;boundary value problems 参考文献/References: [1] AHMAD B,MATAR M,AGARWAL R. Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions[J]. Bo...