Results 11 to 20 of about 9,754,609 (205)
Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Applications of q-Real Numbers to Triple q-Hypergeometric Functions and q-Horn Functions
, 2023 The purpose of this article is to study how q-real numbers can be used for computations of convergence regions, q-integral representations of certain multiple triple q-Lauricella functions.
Thomas Ernst
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Asymptotic iteration method for solving Hahn difference equations
, 2021 Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM).
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, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Jiafa Xu +3 more
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Difference equations over fields of elliptic functions.
, 2021 Adamczewski and Bell proved in 2017 a 30-year old conjecture of Loxton and van der Poorten, asserting that a Laurent power series, which simultaneously satisfies a p-Mahler equation and a q-Mahler equation for multiplicatively independent integers p and ...
Deshalit, Ehud
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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Fractional q-Difference Inclusions in Banach Spaces
, 2020 In this paper, we study a class of Caputo fractional q-difference inclusions in Banach spaces. We obtain some existence results by using the set-valued analysis, the measure of noncompactness, and the fixed point theory (Darbo and Mönch’s ...
Badr Alqahtani +3 more
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, 2022 We discuss the solvability of a (p,q)-difference equation of fractional order α∈(1,2], equipped with anti-periodic boundary conditions involving the first-order (p,q)-difference operator.
Ravi P. Agarwal +2 more
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Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System [PDF]
In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional p,q-difference system of nonlinear equations.
Amir Abdel Menaem +7 more
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