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A Multi-Index Generalized Derivative; Some Introductory Notes
ArticleAbstract: In this work we present a generalized multi-index derivative, which contains as particular cases, wiPalabras claves:Fractional Calculus, Fractional derivatives and integral, Generalized derivativeAutores:Lugo L.M., Miguel Vivas-Cortez, Samei M.E., Valdes J.E.N.Fuentes:googlescopusExtremal solution to generalized differential equations under integral boundary condition
ArticleAbstract: In this article, by utilizing the monotone iterative strategy coupled with the strategy of upper andPalabras claves:Generalized differential equations, Monotone iterative method, Riemann-Stieltjes integral, Upper and lower solutionsAutores:Miguel Vivas-Cortez, Oswalde Larreal, Valdes J.E.N.Fuentes:googlescopusSome existence, uniqueness and stability results of nonlocal random impulsive integro-differential equations
ArticleAbstract: This paper is concerned with random impulsive integro-differential equations with nonlocal conditionPalabras claves:Autores:Hugo Leiva, Jose S.A., Valdes J.E.N., Yukunthorn W.Fuentes:googlescopusThe Minkowski Inequality for Generalized Fractional Integrals
ArticleAbstract: In this work, the well-known Minkowski inequality is studied, using a generalized fractional integraPalabras claves:fractional integral, Minkowski inequalityAutores:Delgado J.G., Miguel Vivas-Cortez, Reyes E.P., Valdes J.E.N.Fuentes:googlescopusOn Opial-type inequality for a generalized fractional integral operator
ArticleAbstract: This article is aimed at establishing some results concerning integral inequalities of the Opial typPalabras claves:Fractional Calculus, Fractional integral operator, Opial inequalityAutores:Hernandez J.E.H., Martínez F., Miguel Vivas-Cortez, Valdes J.E.N.Fuentes:googlescopusOn the Generalized Laplace’s Equation
ArticleAbstract: In this paper, we study the properties and various results of the generalized Laplace Equation, usinPalabras claves:Generalized derivatives and integral, Laplace’s equationAutores:Lugo L.M., Miguel Vivas-Cortez, Valdes J.E.N.Fuentes:googlescopusOn the oscillatory behaviour of some forced nonlinear generalized differential equation
ArticleAbstract: In this paper, we study the oscillatory character of a generalized di-fferential equation of order αPalabras claves:Generalized ordinary differential operator, oscillationAutores:Lugo L.M., Miguel Vivas-Cortez, Valdes J.E.N.Fuentes:googlescopus