Results 141 to 150 of about 27,980 (166)

Fractal dimension of Katugampola fractional integral of continuous functions with unbounded variation

2019 Chinese Control And Decision Conference (CCDC), 2019
The present paper mainly explore fractal dimension of Katugampola fractional integral of continuous functions with unbounded variation. We prove that Box dimension and Hausdorff dimension of Katugampola fractional integral of continuous functions with ...
Yongshun Liang
exaly   +3 more sources

Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral

Punjab University Journal of Mathematics, 2023
In this study, we present the midpoint and trapezoid inequalities for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping ϕ ...
S. I. Butt, B. Bayraktar, Juan E. N´apoles Valdes   +2 more
semanticscholar   +3 more sources

ON KATUGAMPOLA FRACTIONAL q-INTEGRAL AND q-DERIVATIVE

Jnanabha, 2022
We first study Katugampola fractional q-integral and q-derivative in the space L1qp [a, b] and obtain some properties of these operators, which include the image of power function, semi group property and composition of these operators.
Lata Chanchlani, Subhash Alha, Ishfaq Ahmad Mallah   +2 more
semanticscholar   +2 more sources

Rothe's method for solving multi‐term Caputo–Katugampola fractional delay integral diffusion equations

Mathematical Methods in the Applied Sciences, 2022
This paper discusses a class of multi‐term Caputo–Katugampola fractional delay integral diffusion equations (MCKFIDEs, for short) in Hilbert spaces.
Yi Rong Jiang
exaly   +2 more sources

Fractal dimensions of Katugampola fractional integral of continuous functions satisfying Holder condition

Fractals, 2021
This paper mainly investigates fractal dimensions of Katugampola fractional integral of continuous functions. It is proven that there exist some interesting connections between the order of Katugampola fractional integral and the upper box dimension of continuous functions satisfied Hölder condition.
K. Yao, Zekun Wang, Xia Zhang, W. Peng, Jia Yao   +4 more
semanticscholar   +2 more sources

Katugampola fractional integral inequalities in multiplicative calculus with multiple parameters

Fractals
This work focuses on the investigation of multi-parameterized inequalities for [Formula: see text]differentiable functions through the framework of multiplicative Katugampola fractional integrals. Central to our approach is the derivation of a multi-parameterized identity associated with the multiplicative Katugampola fractional integrals, which ...
Tingsong Du, Dingyi Ai
semanticscholar   +2 more sources

A cardinal-based numerical method for fractional optimal control problems with Caputo–Katugampola fractional derivative in a large domain

International Journal of Systems Science
In this paper, the piecewise Chebyshev cardinal functions (PCCFs) are handled to design a highly accurate direct method to solve a category of fractional optimal control problems (FOCPs) involving the Caputo–Katugampola fractional derivative (as a ...
Mohammad Hossein Heydari
exaly   +2 more sources

Best proximity point theorems on the optimum solution for coupled system of Katugampola fractional integral equations via measure of noncompactness

Journal of Applied Mathematics and Computing
Moosa Gabeleh, Anupam Das, Mohammad Esmael Samei   +2 more
exaly   +2 more sources

Regularity properties and dimensional analysis of the Katugampola fractional integral of the generalized Takagi function

Journal of Computational and Applied Mathematics
Binyan Yu, B. Selmi, Yongshun Liang, Zhiming Li   +3 more
semanticscholar   +2 more sources

ON MILNE-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL MULTIPLICATIVE INTEGRALS

Fractals
This work focuses on the study of Milne’s inequality in the framework of Katugampola fractional multiplicative integrals, inspired by recent progress in non-Newtonian fractional calculus. We develop a new integral identity related to these operators and employ it to derive Milne-type inequalities for the class of multiplicative differentiable [Formula:
ABDELGHANI LAKHDARI, BANDAR BIN-MOHSIN, KHALID ACHACHERA, HONGYAN XU, HÜSEYIN BUDAK   +4 more
openaire   +2 more sources