Fractional Calculus and Applied Analysis

Title Publication Date Language Citations
Non-Instantaneous Impulses in Caputo Fractional Differential Equations2017/06/01English35
Fractional heat equation and the second law of thermodynamics2011/06/29English35
Eigenvalue comparison for fractional boundary value problems with the Caputo derivative2014/06/26English34
Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping2013/03/01English34
Numerical solution of fractional Sturm-Liouville equation in integral form2014/03/21English34
Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies2015/08/01English33
Invariant Subspace Method: A Tool for Solving Fractional Partial Differential Equations2017/04/01English33
Hamilton’s principle with variable order fractional derivatives2011/01/15English33
Monotonicity of Functions and Sign Changes of Their Caputo Derivatives2016/04/01English32
Asymptotic behavior of solutions of linear multi-order fractional differential systems2017/10/01English32
Numerics for the fractional Langevin equation driven by the fractional Brownian motion2013/03/01English32
The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes2013/03/19English32
Multi-parametric mittag-leffler functions and their extension2013/03/19English32
Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative2012/06/30English32
Niels Henrik Abel and the birth of fractional calculus2017/10/01English31
From the hyper-Bessel operators of Dimovski to the generalized fractional calculus2014/09/03English31
The space-fractional diffusion-advection equation: Analytical solutions and critical assessment of numerical solutions2013/12/28English31
Completely Monotone Multinomial Mittag-Leffler Type Functions and Diffusion Equations with Multiple Time-Derivatives2021/01/29English30
Well-Posedness of Time-Fractional Advection-Diffusion-Reaction Equations2019/08/01English30
Numerical solutions of the initial value problem for fractional differential equations by modification of the Adomian decomposition method2014/03/21English30
Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives2013/12/28English30
Fractional rheological models for thermomechanical systems. Dissipation and free energies2013/12/28English30
Fractional Integral on Martingale Hardy Spaces With Variable Exponents2015/10/01English30
Analysis of Two- and Three-Dimensional Fractional-Order Hindmarsh-Rose Type Neuronal Models2017/06/01English30
Nonlocal Problem for Fractional Stochastic Evolution Equations with Solution Operators2016/12/01English30
Conceptual design of a selectable fractional-order differentiator for industrial applications2014/06/26English30
Numerical studies for the variable-order nonlinear fractional wave equation2012/09/29English30
Solution of fractional partial differential equations using iterative method2012/09/29English29
On fractional order derivatives and Darboux problem for implicit differential equations2012/03/18English29
On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n2011/09/29English29