Fractional Calculus and Applied Analysis

Title Publication Date Language Citations
Approximate Controllability and Existence of Mild Solutions for Riemann-Liouville Fractional Stochastic Evolution Equations with Nonlocal Conditions of Order 1 < α < 22019/08/01English59
Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation2013/03/01English59
Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions2015/02/01English59
Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions2017/12/01English58
Consensus of Fractional-Order Multi-Agent Systems with Input Time Delay2017/02/01English57
Decay solutions for a class of fractional differential variational inequalities2015/05/23English56
Existence and uniqueness of solutions for a fractional boundary value problem on a graph2014/03/21English56
Properties of the Caputo-Fabrizio fractional derivative and its distributional settings2018/02/01English56
Some further results of the laplace transform for variable–order fractional difference equations2019/12/01English54
High-Order Algorithms for Riesz Derivative and their Applications (III)2016/02/01English54
Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder2011/06/29English54
Nonpolynomial collocation approximation of solutions to fractional differential equations2013/09/13English53
Existence and Approximate Controllability of Fractional Evolution Equations with Nonlocal Conditions Via Resolvent Operators2020/02/01English53
A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials2013/03/01English52
Fractional calculus of variations for a combined Caputo derivative2011/09/29English52
Multiple solutions to boundary value problem for impulsive fractional differential equations2014/09/03English52
Distributed coordination of fractional order multi-agent systems with communication delays2013/12/28English52
AttRactivity for Fractional Evolution Equations with Almost Sectorial Operators2018/06/01English51
Fractional Calculus: Quo Vadimus? (Where are we Going?)2015/03/13English51
Dissipativity and Stability Analysis for Fractional Functional Differential Equations2015/12/01English50
A Computational Approach for the Solution of A Class of Variable-Order Fractional Integro-Differential Equations With Weakly Singular Kernels2017/08/01English50
Modeling of Financial Processes with A Space-Time Fractional Diffusion Equation of Varying Order2016/12/01English50
Fractional differential inclusions with fractional separated boundary conditions2012/06/30English49
Positive solutions for a system of nonlocal fractional boundary value problems2013/09/13English48
On Riesz Derivative2019/04/01English48
Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions2018/12/01English48
Maximum Principles for Multi-Term Space-Time Variable-Order Fractional Diffusion Equations and their Applications2016/02/01English47
Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications2014/03/21English47
Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces2013/09/13English47
A biomathematical view on the fractional dynamics of cellulose degradation2015/05/23English47