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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:googlescopusHermite–Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals
Book PartAbstract: In this research, we used a generalized fractional integral to create a new Hermite–Hadamard-type inPalabras claves:Autores:Kermausuor S., Miguel Vivas-Cortez, 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 a new generalized integral operator and certain operating properties
ArticleAbstract: In this paper, we present a general definition of a generalized integral operator which contains asPalabras claves:Fractional Calculus, Integral operatorAutores:Guzman P.M., Lugo L.M., 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 conformable fractional logistic models
ArticleAbstract: In this paper, we use a conformable fractional derivative (Formula presented.), with kernel (FormulaPalabras claves:Applications, differential equations with fractional derivatives, fractional conformable derivatives, Fractional integralsAutores:Fleitas A., Reyes R., Ricardo Abreu Blaya, Rodríguez J.M., Sigarreta J.M., Valdes J.E.N.Fuentes:scopusOn 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:googlescopusSome Hermite-Hadamard Weighted Integral Inequalities for (h, m)-Convex Modified Functions
ArticleAbstract: In this paper, we establish some new type integral inequalities for differentiable (h, m)-convex modPalabras claves:(h, m)-convex modified functions, Hermite-Hadamard integral inequality, integral operators generalizedAutores:Guerrero J.A., Miguel Vivas-Cortez, 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:googlescopus