Fractional Calculus and Applied Analysis

Title Publication Date Language Citations
The maximal operator on weighted variable Lebesgue spaces2011/06/29English77
Existence of solutions to boundary value problem for impulsive fractional differential equations2014/06/26English77
Fractional Diffusion on Bounded Domains2015/03/13English75
Fuzzy fractional integral equations under compactness type condition2012/09/29English74
On the asymptotic stability of linear system of fractional-order difference equations2013/06/26English74
A Survey of Lyapunov Functions, Stability and Impulsive Caputo Fractional Differential Equations2016/04/01English74
Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel2015/08/01English73
Existence of Mild Solutions for a Class of Hilfer Fractional Evolution Equations with Nonlocal Conditions2017/06/01English71
On a fractional Zener elastic wave equation2013/03/01English71
And I say to myself: “What a fractional world!”2011/09/29English71
Solving Fractional Delay Differential Equations: A New Approach2015/03/13English70
Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations2015/02/01English70
On the existence of solutions of fractional integro-differential equations2011/12/29English69
Operational Calculus for the General Fractional Derivative and Its Applications2021/04/01English69
On Existence and Uniqueness of Solutions for Semilinear Fractional Wave Equations2017/02/01English69
From continuous time random walks to the generalized diffusion equation2018/02/01English69
Tuning and implementation methods for fractional-order controllers2012/03/18English69
Maximum principle and its application for the time-fractional diffusion equations2011/01/15English68
Fractional calculus for power functions and eigenvalues of the fractional Laplacian2012/09/29English67
A Novel Unstructured Mesh Finite Element Method for Solving the Time-Space Fractional Wave Equation on a Two-Dimensional Irregular Convex Domain2017/04/01English65
Science metrics on fractional calculus development since 19662013/03/19English65
Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations2014/09/03English63
A further extension of Mittag-Leffler function2018/10/01English63
Fractional boundary value problems: Analysis and numerical methods2011/09/29English63
A note on short memory principle of fractional calculus2017/12/01English62
An efficient parallel algorithm for the numerical solution of fractional differential equations2011/06/29English61
A Comment on a Controversial Issue: A Generalized Fractional Derivative Cannot Have a Regular Kernel2020/02/01English61
Novel Numerical Analysis of Multi-Term Time Fractional Viscoelastic Non-Newtonian Fluid Models for Simulating Unsteady Mhd Couette Flow of a Generalized Oldroyd-B Fluid2018/08/01English60
Initial-boundary Value Problems for Fractional Diffusion Equations with Time-Dependent Coefficients2018/04/01English59
On the existence of blow up solutions for a class of fractional differential equations2014/09/03English59