Results 1 to 10 of about 463 (144)
Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals [PDF]
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj +8 more sources
On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
doaj +2 more sources
Results on Katugampola Fractional Derivatives and Integrals
International Journal of Analysis and Applications, 2023 In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional ...
Iqbal H. Jebril +4 more
doaj +2 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2022 A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for
M. Omaba
doaj +2 more sources
Journal of Function SpacesIn this article, new estimations of the integral form of the midpoint formula are derived for p-convex functions via Katugampola fractional integrals.
Muhammad Latif +4 more
doaj +2 more sources
Fractional-Order Epidemic Model for Measles Infection. [PDF]
Scientifica (Cairo)In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional‐order derivative operator. The model’s existence and uniqueness are established. In addition, the model equilibria are determined, and the novel Jacobian determinant method recently constructed in the literature of ...
Akuka PNA, Seidu B, Okyere E, Abagna S.
europepmc +2 more sources
Weddle's Inequality via Katugampola Fractional Integrals
Universal Journal of Mathematics and ApplicationsIntegral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently.
Jamal El-achky
doaj +2 more sources
Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2018 In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
FARID, Ghulam +2 more
core +4 more sources
Journal of Applied MathematicsIn this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne-type inequalities are derived for functions
Muhammad Bilal Ahmed +3 more
doaj +2 more sources
Extension of Milne-type inequalities to Katugampola fractional integrals
Boundary Value ProblemsThis study explores the extension of Milne-type inequalities to the realm of Katugampola fractional integrals, aiming to broaden the analytical tools available in fractional calculus.
Abdelghani Lakhdari +3 more
doaj +3 more sources