Results 61 to 70 of about 5,587,423 (323)
Refinements of quantum Hermite-Hadamard-type inequalities
Open Mathematics, 2021 In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
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On Certain Dual Q-Integral Equations
, 2015 We consider three different systems of dual q-integral equations where the kernel is the third Jackson q-Bessel functions. We solve the first system by applying the multiplying factor method (ansatz solution) and the second by employing the fractional q ...
Ashour, Ola A. +2 more
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On a Reduction Formula for a Kind of Double q-Integrals [PDF]
Symmetry, 2016 Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation, we derive a reduction formula for a kind of double q-integrals. This reduction formula is used to derive a curious double q-integral formula, and also allows us to prove a general q-beta integral formula including the Askey–Wilson integral formula as a
openaire +3 more sources
The Journal of Applied Analysis and Computation, 2019 In this paper, under certain nonlinear growth conditions, we investigate the existence and successive iterations for the unique positive solution of a nonlinear fractional q-integral boundary problem by employing hybrid monotone method, which is a novel ...
Guo-Tao Wang +2 more
semanticscholar +1 more source
Boundary Value Problems, 2018 In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert +1 more
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Boundary Value ProblemsThe paper focuses on establishing sufficient conditions for the existence of the solutions in some functional q-integral equations, particularly in Banach spaces.
H. Sahebi, M. Kazemi, M. Samei
semanticscholar +1 more source
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations [PDF]
We find kernel functions of the $q$-Heun equation and its variants. We apply them to obtain $q$-integral transformations of solutions to the $q$-Heun equation and its variants. We discuss special solutions of the $q$-Heun equation from the perspective of
Takemura, Kouichi
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The q-Dixon-Anderson integral and multi-dimensional ψ11 summations [PDF]
, 2015 The Dixon–Anderson integral is a multi-dimensional integral evaluation fundamental to the theory of the Selberg integral. The ψ11 summation is a bilateral generalization of the q-binomial theorem. It is shown that a q-generalization of the Dixon–Anderson
Ito, M, Forrester, PJ
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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The Complex Line (P, Q)-Integral And (P, Q)-Green's Formula
, 2023 In this study, we present the complex line (p, q)-integral and multiple (p, q)-integral by using the concept of (p, q)-calculus. The (p, q)-Green's formula and the (p, q)-Gauss formulas are obtained with appropriate conditions in a complex ...
Gençtürk, İlker, Koca, Kerim
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