Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator. Design/methodology/approach – Standard methodology for papers in difference and shift operators and value ...
Abhijit Banerjee, Arpita Roy
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On zeros of an entire function coinciding with exponential typequasi-polynomials, associated with a regular third-order differential operator on an interval [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we consider the question on study of zeros of an entire function of one class, which coincides with quasi-polynomials of exponential type.
N.S. Imanbaev, Ye. Kurmysh
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On a new linear operator formulated by Airy functions in the open unit disk
Advances in Difference Equations, 2021 In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is
Rabha W. Ibrahim, Dumitru Baleanu
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Calculation of particular solutions of nonhomogeneous linear equations with two linear operators, of which at least one is almost algebraic, in the case of simple roots of the characteristic equation [PDF]
Компьютерные исследования и моделирование, 2016 The concept of an operator is an almost algebraic with respect to two-sided ideal of the algebra of linear operators in some finite-dimensional linear spaces, it extended to the case when the ideal is left.
Vladimir G. Tsirulik
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Nonlinear Analysis, 2023 A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function.
Guang Yang, Guo-Cheng Wu, Hui Fu
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Asymptotic iteration method for solving Hahn difference equations
Advances in Difference Equations, 2021 Hahn’s difference operator D q ; w f ( x ) = ( f ( q x + w ) − f ( x ) ) / ( ( q − 1 ) x + w ) $D_{q;w}f(x) =({f(qx+w)-f(x)})/({(q-1)x+w})$ , q ∈ ( 0 , 1 ) $q\in (0,1)$ , w > 0 $w>0$ , x ≠ w / ( 1 − q ) $x\neq w/(1-q)$ is used to unify the recently ...
Lucas MacQuarrie +2 more
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NUMERICAL SOLUTION OF A LINEAR SYSTEM WITH A FRACTIONAL POWER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2013 We investigate numerical solutions of linear ordinary and partial differential equations. Cauchy’s problem for ordinary equations of first and second order are generalized with fractional power of finite operator.
I.A. Il’in +2 more
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Solving the difference initial-boundary value problems by the operator exponential method [PDF]
, 2000 We suggest a modification of the operator exponential method for the numerical solving the difference linear initial boundary value problems. The scheme is based on the representation of the difference operator for given boundary conditions as the ...
Andronov A +7 more
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable
Journal of Function Spaces, 2021 Saint-Venant equations describe the flow below a pressure surface in a fluid. We aim to generalize this class of equations using fractional calculus of a complex variable.
Najla M. Alarifi, Rabha W. Ibrahim
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Max-plus fundamental solution semigroups for a class of difference Riccati equations [PDF]
, 2015 Recently, a max-plus dual space fundamental solution semigroup for a class of difference Riccati equation (DRE) has been developed. This fundamental solution semigroup is represented in terms of the kernel of a specific max-plus linear operator that ...
Dower, Peter M., Zhang, Huan
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