Fractional Calculus and Applied Analysis

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Top Articles

#	Title	Journal	Year	Citations
1	Ten Equivalent Definitions of the Fractional Laplace Operator	Fractional Calculus and Applied Analysis	2017	313
2	Numerical methods for solving the multi-term time-fractional wave-diffusion equation	Fractional Calculus and Applied Analysis	2013	257
3	A Review on Variable-Order Fractional Differential Equations: Mathematical Foundations, Physical Models, Numerical Methods and Applications	Fractional Calculus and Applied Analysis	2019	218
4	Fractional Calculus in Image Processing: A Review	Fractional Calculus and Applied Analysis	2016	193
5	A survey on impulsive fractional differential equations	Fractional Calculus and Applied Analysis	2016	184
6	A finite element method for time fractional partial differential equations	Fractional Calculus and Applied Analysis	2011	174
7	Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation	Fractional Calculus and Applied Analysis	2012	153
8	On explicit stability conditions for a linear fractional difference system	Fractional Calculus and Applied Analysis	2015	152
9	Time-fractional diffusion equation in the fractional Sobolev spaces	Fractional Calculus and Applied Analysis	2015	147
10	Spectral approximations to the fractional integral and derivative	Fractional Calculus and Applied Analysis	2012	129
11	Some pioneers of the applications of fractional calculus	Fractional Calculus and Applied Analysis	2014	128
12	Models of Dielectric Relaxation Based on Completely Monotone Functions	Fractional Calculus and Applied Analysis	2016	125
13	Some generalized fractional calculus operators and their applications in integral equations	Fractional Calculus and Applied Analysis	2012	123
14	An historical perspective on fractional calculus in linear viscoelasticity	Fractional Calculus and Applied Analysis	2012	116
15	A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations	Fractional Calculus and Applied Analysis	2014	114
16	A Practical Guide to Prabhakar Fractional Calculus	Fractional Calculus and Applied Analysis	2020	114
17	Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density	Fractional Calculus and Applied Analysis	2013	113
18	Too Much Regularity May Force Too Much Uniqueness	Fractional Calculus and Applied Analysis	2016	113
19	The Chronicles of Fractional Calculus	Fractional Calculus and Applied Analysis	2017	112
20	Tuning and implementation methods for fractional-order controllers	Fractional Calculus and Applied Analysis	2012	107
21	General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems	Fractional Calculus and Applied Analysis	2016	103
22	On the oscillation of fractional differential equations	Fractional Calculus and Applied Analysis	2012	102
23	A Lyapunov-type inequality for a fractional boundary value problem	Fractional Calculus and Applied Analysis	2013	97
24	Erdélyi-Kober fractional diffusion	Fractional Calculus and Applied Analysis	2012	93
25	On a fractional Zener elastic wave equation	Fractional Calculus and Applied Analysis	2013	92
26	A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures	Fractional Calculus and Applied Analysis	2013	91
27	On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions	Fractional Calculus and Applied Analysis	2015	91
28	Why Fractional Derivatives with Nonsingular Kernels Should Not Be Used	Fractional Calculus and Applied Analysis	2020	88
29	The maximal operator on weighted variable Lebesgue spaces	Fractional Calculus and Applied Analysis	2011	87
30	And I say to myself: “What a fractional world!”	Fractional Calculus and Applied Analysis	2011	86
31	Strong maximum principle for fractional diffusion equations and an application to an inverse source problem	Fractional Calculus and Applied Analysis	2016	86
32	Fuzzy fractional integral equations under compactness type condition	Fractional Calculus and Applied Analysis	2012	85
33	A Survey of Lyapunov Functions, Stability and Impulsive Caputo Fractional Differential Equations	Fractional Calculus and Applied Analysis	2016	84
34	Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel	Fractional Calculus and Applied Analysis	2015	83
35	Existence of solutions to boundary value problem for impulsive fractional differential equations	Fractional Calculus and Applied Analysis	2014	82
36	New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions	Fractional Calculus and Applied Analysis	2014	82
37	Fractional Diffusion on Bounded Domains	Fractional Calculus and Applied Analysis	2015	82
38	High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)	Fractional Calculus and Applied Analysis	2015	82
39	Fractional Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case	Fractional Calculus and Applied Analysis	2019	81
40	On the asymptotic stability of linear system of fractional-order difference equations	Fractional Calculus and Applied Analysis	2013	80
41	Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations	Fractional Calculus and Applied Analysis	2015	80
42	Maximum principle and its application for the time-fractional diffusion equations	Fractional Calculus and Applied Analysis	2011	79
43	Fractional calculus for power functions and eigenvalues of the fractional Laplacian	Fractional Calculus and Applied Analysis	2012	79
44	Fractional boundary value problems: Analysis and numerical methods	Fractional Calculus and Applied Analysis	2011	76
45	On the existence of solutions of fractional integro-differential equations	Fractional Calculus and Applied Analysis	2012	76
46	Existence of Mild Solutions for a Class of Hilfer Fractional Evolution Equations with Nonlocal Conditions	Fractional Calculus and Applied Analysis	2017	76
47	From continuous time random walks to the generalized diffusion equation	Fractional Calculus and Applied Analysis	2018	76
48	An efficient parallel algorithm for the numerical solution of fractional differential equations	Fractional Calculus and Applied Analysis	2011	75
49	Solving Fractional Delay Differential Equations: A New Approach	Fractional Calculus and Applied Analysis	2015	75
50	On Existence and Uniqueness of Solutions for Semilinear Fractional Wave Equations	Fractional Calculus and Applied Analysis	2017	75

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