#  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 Apostoltype FrobeniusEuler polynomials  Advances in Difference Equations  2013  239 
4  Caputotype 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 HIV1 infection of $CD4^{+}$ Tcell 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 RiccatiBernoulli subODE method for nonlinear partial differential equations and its application  Advances in Difference Equations  2015  159 
14  Discrete fractional differences with nonsingular discrete MittagLeffler kernels  Advances in Difference Equations  2016  150 
15  An optimized Crank–Nicolson finite difference extrapolating model for the fractionalorder parabolictype sineGordon 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 COVID19 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 COVID19 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 ThreePoint Integral Boundary Conditions  Advances in Difference Equations  2011  121 
23  Investigation of the pLaplacian 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 RiemannLiouville Fractional Derivative  Advances in Difference Equations  2009  116 
25  A mathematical model of COVID19 using fractional derivative: outbreak in India with dynamics of transmission and control  Advances in Difference Equations  2020  111 
26  A new fractional SIRSSI 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 integrodifferential equations involving the CaputoFabrizio 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 fractionalorder nonlinear equations  Advances in Difference Equations  2014  99 
34  Mathematical model of COVID19 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 nonlocal and nonsingular 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 qdifference 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 pLaplacian 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 