Results 21 to 30 of about 41,489 (237)
Generalized Fractional and Circular Total Colorings of Graphs
Discussiones Mathematicae Graph Theory, 2015 Let P and Q be additive and hereditary graph properties, r, s ∈ N, r ≥ s, and [ℤr]s be the set of all s-element subsets of ℤr. An (r, s)-fractional (P,Q)-total coloring of G is an assignment h : V (G) ∪ E(G) → [ℤr]s such that for each i ∈ ℤr the ...
Kemnitz Arnfried +4 more
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TWMS Journal of Applied and Engineering Mathematics, 2018 The main object of this paper is to present certain new image formulas for the product of general class of polynomial and p; q {extended Gauss's hypergeometric function by applying the Saigo-Maeda fractional integral operators involving Appell's function F3. Certain interesting special cases of our main results are also considered.
D.L. Suthar +3 more
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Journal of Function Spaces, 2020 In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional p & q Laplacian problem with singular nonlinearity.
Dandan Yang, Chuanzhi Bai
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Generalized Fractional Total Colorings of Complete Graph
Discussiones Mathematicae Graph Theory, 2013 An additive and hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let P and Q be two additive and hereditary graph properties and let r, s be integers such that r ≥ s Then an fractional (P,
Karafová Gabriela
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Comptes Rendus. Mathématique, 2022 In this article, we communicate with the glimpse of the proofs of new global regularity results for weak solutions to a class of problems involving fractional $(p,q)$-Laplacian, denoted by $(-\Delta )^{s_1}_{p}+(-\Delta )^{s_2}_{q}$, for $s_2, s_1\in (0 ...
Giacomoni, Jacques +2 more
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Generalized Fractional Total Colorings of Graphs
Discussiones Mathematicae Graph Theory, 2015 Let P and Q be additive and hereditary graph properties and let r, s be integers such that r ≥ s. Then an r/s -fractional (P,Q)-total coloring of a finite graph G = (V,E) is a mapping f, which assigns an s-element subset of the set {1, 2, . . .
Karafová Gabriela, Soták Roman
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Advances in Difference Equations, 2019 In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (−Δ)pαu+λV(x)|u|p−2u=f(x,u)−μg(x)|u|q−2u,x∈RN, $$ (-\Delta )_{p}^{\alpha }u+\lambda V(x) \vert u \vert ^{p-2}u=f(x,
Keyu Zhang +3 more
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Jurnal Ilmiah Matematika dan Pendidikan Matematika, 2016 By employing the growth measure, in this paper we prove the weak-(p, q) inequality for fractional integral operator on Morrey spaces via Hedberg type inequality. The proof also needs the weak-(p, p) inequality of the maximal operator in the same spaces.
Hendra Gunawan, Idha Sihwaningrum
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Analysis of a System for Linear Fractional Differential Equations
Journal of Applied Mathematics, 2012 The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations ...
Fang Wang, Zhen-hai Liu, Ping Wang
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A note on inhomogeneous fractional Schrödinger equations
Boundary Value Problems, 2023 We study some energy well-posedness issues of the Schrödinger equation with an inhomogeneous mixed nonlinearity and radial data i u ˙ − ( − Δ ) s u ± | x | ρ | u | p − 1 u ± | u | q − 1 u = 0 , 0 < s < 1 , ρ ≠ 0 , p , q > 1 . $$ i\dot{u}-(-\Delta )^{s} u
Tarek Saanouni +2 more
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