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On a fractional difference operator
Alexandria Engineering Journal, 2016 In the present article, a set of new difference sequence spaces of fractional order has been introduced and subsequently, an application of these spaces, the notion of the derivatives and the integrals of a function to the case of non-integer order have ...
P. Baliarsingh
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International Journal of Applied Mathematics and Computer Science, 2023 This paper deals with homogeneous and non-homogeneous fractional diffusion difference equations. The fractional operators in space and time are defined in the sense of Grünwald and Letnikov.
Malinowska Agnieszka B. +2 more
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Fractional Order Difference Equations [PDF]
International Journal of Differential Equations, 2012 A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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The Fractional Orthogonal Difference with Applications [PDF]
Mathematics, 2015 This paper is a follow-up of a previous paper of the author published in Mathematics journal in 2015, which treats the so-called continuous fractional orthogonal derivative.
Enno Diekema
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we introduce the basic notions of the fractional summation, difference and q-difference with the quaternionic fractional order for the quaternion-valued functions and establish some of their basic properties.
Wang Chao, Xie Weiyu, Agarwal Ravi P.
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On Separate Fractional Sum-Difference Equations with n-Point Fractional Sum-Difference Boundary Conditions via Arbitrary Different Fractional Orders [PDF]
Mathematics, 2019 In this article, we study the existence and uniqueness results for a separate nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and the Schauder’s fixed ...
Saowaluck Chasreechai +1 more
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Fractional Difference Equations with Real Variable [PDF]
Abstract and Applied Analysis, 2012 We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several ...
Jin-Fa Cheng, Yu-Ming Chu
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Identification of linear dynamic systems of fractional order with errors in variables based on an augmented system of equations [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 Equations with derivatives and fractional order differences are widely used to describe various processes and phenomena. Currently, methods of identification of systems described by equations with fractional order differences are actively developing. The
Dmitriy V. Ivanov
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Nonoscillatory solutions of discrete fractional order equations with positive and negative terms [PDF]
Mathematica Bohemica, 2023 This paper aims at discussing asymptotic behaviour of nonoscillatory solutions of the forced fractional difference equations of the form \align\Delta^{\gamma}u(\kappa)&+\Theta[\kappa+\gamma,w(\kappa+\gamma)] =&\Phi(\kappa+\gamma)+\Upsilon(\kappa ...
Jehad Alzabut +3 more
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Mathematics, 2021 This paper is devoted to the identification of the parameters of discrete fractional systems with errors in variables. Estimates of the parameters of such systems can be obtained using generalized total least squares (GTLS). A GTLS problem can be reduced
Dmitriy Ivanov, Aleksandr Zhdanov
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