Advances in Difference Equations

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Top Articles

#	Title	Journal	Year	Citations
1	Dynamics analysis of a delayed virus model with two different transmission methods and treatments	Advances in Difference Equations	2020	603
2	On a new class of fractional operators	Advances in Difference Equations	2017	266
3	On the generalized Apostol-type Frobenius-Euler polynomials	Advances in Difference Equations	2013	239
4	Caputo-type modification of the Hadamard fractional derivatives	Advances in Difference Equations	2012	237
5	Some results on difference polynomials sharing values	Advances in Difference Equations	2012	235
6	Forced oscillation of nonlinear fractional differential equations with damping term	Advances in Difference Equations	2015	219
7	The twisted Daehee numbers and polynomials	Advances in Difference Equations	2014	196
8	Unique solutions for a new coupled system of fractional differential equations	Advances in Difference Equations	2018	195
9	Analysis of the model of HIV-1 infection of $CD4^{+}$ T-cell with a new approach of fractional derivative	Advances in Difference Equations	2020	183
10	Existence of chaos for partial difference equations via tangent and cotangent functions	Advances in Difference Equations	2021	175
11	Quantum calculus on finite intervals and applications to impulsive difference equations	Advances in Difference Equations	2013	174
12	Extinction for a discrete competition system with the effect of toxic substances	Advances in Difference Equations	2016	161
13	A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application	Advances in Difference Equations	2015	159
14	Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels	Advances in Difference Equations	2016	150
15	An optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation	Advances in Difference Equations	2019	148
16	On a fractional order Ebola epidemic model	Advances in Difference Equations	2015	143
17	Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations	Advances in Difference Equations	2017	142
18	A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative	Advances in Difference Equations	2020	137
19	On Caputo modification of the Hadamard fractional derivatives	Advances in Difference Equations	2014	133
20	The dynamics of COVID-19 with quarantined and isolation	Advances in Difference Equations	2020	130
21	A new fractional model for giving up smoking dynamics	Advances in Difference Equations	2017	125
22	New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions	Advances in Difference Equations	2011	121
23	Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives	Advances in Difference Equations	2021	120
24	A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative	Advances in Difference Equations	2009	116
25	A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control	Advances in Difference Equations	2020	111
26	A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying	Advances in Difference Equations	2019	110
27	Existence Results for Nonlinear Fractional Difference Equation	Advances in Difference Equations	2011	109
28	A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative	Advances in Difference Equations	2017	108
29	Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method	Advances in Difference Equations	2020	107
30	Multiple periodic solutions for a discrete time model of plankton allelopathy	Advances in Difference Equations	2006	105
31	On the analysis of fractional diabetes model with exponential law	Advances in Difference Equations	2018	105
32	Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative	Advances in Difference Equations	2020	105
33	The modified Kudryashov method for solving some fractional-order nonlinear equations	Advances in Difference Equations	2014	99
34	Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications	Advances in Difference Equations	2020	99
35	Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system	Advances in Difference Equations	2021	98
36	The new exact solitary wave solutions and stability analysis for the ( 2 + 1 ) $(2+1)$ -dimensional Zakharov–Kuznetsov equation	Advances in Difference Equations	2019	95
37	Monotonicity results for fractional difference operators with discrete exponential kernels	Advances in Difference Equations	2017	91
38	Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels	Advances in Difference Equations	2020	90
39	A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system	Advances in Difference Equations	2021	89
40	Existence and uniqueness results for fractional differential equations with uncertainty	Advances in Difference Equations	2012	88
41	Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular	Advances in Difference Equations	2016	88
42	Comparison and validation of integer and fractional order ultracapacitor models	Advances in Difference Equations	2011	87
43	Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations	Advances in Difference Equations	2019	87
44	New concepts of fractional quantum calculus and applications to impulsive fractional q-difference equations	Advances in Difference Equations	2015	86
45	On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control	Advances in Difference Equations	2021	86
46	A Jacobi operational matrix for solving a fuzzy linear fractional differential equation	Advances in Difference Equations	2013	84
47	Fractional operators with exponential kernels and a Lyapunov type inequality	Advances in Difference Equations	2017	84
48	New aspects of poor nutrition in the life cycle within the fractional calculus	Advances in Difference Equations	2018	83
49	Multiple positive solutions of singular discrete p-Laplacian problems via variational methods	Advances in Difference Equations	2005	82
50	Variational iteration method for fractional calculus - a universal approach by Laplace transform	Advances in Difference Equations	2013	82

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