Results 11 to 20 of about 145 (127)
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions
Fractional Calculus and Applied Analysis, 2022 The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0; 1]X[0; 1]. We prove that the box dimension of the mixed Katugampola fractional integral having fractional order (α= (α_1; α_2); α_1 > 0; α_2 > 0) of two-dimensional continuous functions on [0; 1]X[0; 1]
Syed Abbas +2 more
exaly +3 more sources
Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities [PDF]
International Journal of Applied and Computational Mathematics, 2022 Ali AKGÜL +2 more
exaly +2 more sources
Tbilisi Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eze Nwaeze, Seth Kermausuor
exaly +3 more sources
Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
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 +4 more sources
Katugampola Fractional Integral and Fractal Dimension of Bivariate Functions [PDF]
Results in Mathematics, 2021 19 pages, 2 figures. This work is a part of the Ph.D. thesis of the first author submitted to IIT Delhi. The thesis is defended successfully in October 2020.
S. Verma, P. Viswanathan
openaire +3 more sources
Katugampola Fractional Calculus With Generalized k−Wright Function
European Journal of Mathematical Analysis, 2021 In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
doaj +1 more source
On weighted fractional inequalities using generalized Katugampola fractional integral operator [PDF]
Fractional Differential Calculus, 2020 Summary: In this paper, we obtain some new weighted fractional inequalities which are presented by \textit{M. Houas} in the paper [Sci., Ser. A, Math. Sci. (N.S.) 27, 87--97 (2016; Zbl 1429.26028)], using generalized Katugampola fractional integral operator.
Panchal, Satish K. +2 more
openaire +2 more sources
Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
doaj +1 more source
On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
doaj +1 more source