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Advances in Difference Equations, 2021 By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type inequalities for unknown ...
Zareen A. Khan +3 more
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On Hilfer fractional difference operator
Advances in Difference Equations, 2020 In this article, a new definition of fractional Hilfer difference operator is introduced. Definition based properties are developed and utilized to construct fixed point operator for fractional order Hilfer difference equations with initial condition. We
Syed Sabyel Haider +2 more
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FRACTIONAL CENTRAL DIFFERENCES AND DERIVATIVES [PDF]
IFAC Proceedings Volumes, 2006 Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials.
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Parameter Identification of Fractional-Order Discrete Chaotic Systems
Entropy, 2019 Research on fractional-order discrete chaotic systems has grown in recent years, and chaos synchronization of such systems is a new topic. To address the deficiencies of the extant chaos synchronization methods for fractional-order discrete chaotic ...
Yuexi Peng +3 more
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Fractional Sums and Differences with Binomial Coefficients [PDF]
Discrete Dynamics in Nature and Society, 2013 In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives. The second approach is by iterating the derivative and then defining a fractional order by making use of ...
Thabet Abdeljawad +3 more
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Efficient Wald Tests for Fractional Unit Roots [PDF]
, 2007 In this article we introduce efficient Wald tests for testing the null hypothesis of the unit root against the alternative of the fractional unit root.
Velasco Gómez, Carlos +4 more
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Green's functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions [PDF]
Opuscula MathematicaThis article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional operators are
Alberto Cabada +2 more
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Water dynamics in different biochar fractions [PDF]
Magnetic Resonance in Chemistry, 2015 Biochar is a carbonaceous porous material deliberately applied to soil to improve its fertility. The mechanisms through which biochar acts on fertility are still poorly understood. The effect of biochar texture size on water dynamics was investigated here in order to provide information to address future research on nutrient mobility towards plant ...
CONTE, Pellegrino, Nestle, N.
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Monotonicity Analysis of Fractional Proportional Differences [PDF]
Discrete Dynamics in Nature and Society, 2020 In this work, the nabla discrete new Riemann–Liouville and Caputo fractional proportional differences of order 0<ε<1 on the time scale ℤ are formulated. The differences and summations of discrete fractional proportional are detected on ℤ, and the fractional proportional sums associated to ∇cRχε,ρz with order 0<ε<1 are defined.
Iyad Suwan +3 more
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Modelling solute transport in soil columns using advective-dispersive equations with fractional spatial derivatives [PDF]
, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
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