Fractional Calculus and Applied Analysis

Title Publication Date Language Citations
A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems2015/12/01English47
Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties2013/03/01English47
The mellin integral transform in fractional calculus2013/03/19English46
Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions2012/06/30English46
Viscoelastic flows with fractional derivative models: Computational approach by convolutional calculus of Dimovski2014/09/03English46
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data2016/02/01English44
Fractional Derivatives and the Fundamental Theorem of Fractional Calculus2020/08/01English44
Monotone iterative method for a class of nonlinear fractional differential equations2012/03/18English41
The Flaw in the Conformable Calculus: It is Conformable Because It isNot Fractional2019/04/01English41
A Foundational Approach to the Lie Theory for Fractional Order Partial Differential Equations2017/02/01English41
Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus2015/03/13English40
Completeness on the Stability Criterion of Fractional Order LTI Systems2017/02/01English40
Stability Analysis of Impulsive Fractional Difference Equations2018/04/01English40
A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method2013/06/26English40
A new difference scheme for time fractional heat equations based on the Crank-Nicholson method2013/09/13English39
StructuRal Derivative Based on Inverse Mittag-Leffler Function for Modeling Ultraslow Diffusion2016/10/01English39
Approximate Controllability for Fractional Differential Equations of Sobolev Type Via Properties on Resolvent Operators2017/08/01English39
Existence of Solutions for a System of Fractional Differential Equations with Coupled Nonlocal Boundary Conditions2018/04/01English39
Numerical solutions and analysis of diffusion for new generalized fractional Burgers equation2013/06/26English39
WEll-Posedness of General Caputo-Type Fractional Differential Equations2018/06/01English38
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus2012/03/18English38
Caputo-Hadamard Fractional Differential Equations in Banach Spaces2018/08/01English37
Bernstein polynomials for solving fractional heat- and wave-like equations2012/09/29English37
Fractional relaxation with time-varying coefficient2014/03/21English36
Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse2015/12/01English36
Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations2017/12/01English36
An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data2017/10/01English36
On the maximum principle for a time-fractional diffusion equation2017/10/01English36
Inverse problem for fractional diffusion equation2011/01/15English35
A preconditioned Fast Finite Difference Method for Space-Time Fractional Partial Differential Equations2017/02/01English35