Results 161 to 170 of about 25,337 (192)

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

Chinese Control and Decision Conference, 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 ...
W. Peng, K. Yao, Yongshun Liang
semanticscholar   +1 more source

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   +1 more source

Solvability of Caputo-Katugampola Fractional Differential Equation Involving p-Laplacian at Resonance

Contemporary Mathematics
In this paper, we investigate the existence of solutions for Caputo-Katugampola fractional differential equations at resonance that involve two different orders and the p-Laplacian operator, by using the theory of the coincidence degree due to Mawhin and
Ahmed Salem, Amal Alsaedi
semanticscholar   +1 more source

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 ...
Shahnaz Karami, Alireza Fakharzadeh Jahromi, M. Heydari   +2 more
semanticscholar   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
exaly  

General fractal dimensions of graphs of continuous functions associated with the Katugampola fractional integral

Fractals
Binyan Yu, B. Selmi, Yongshun Liang
semanticscholar   +1 more source

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 Computation
Mallika Sarmah, M. Gabeleh, Anupam Das, M. Samei   +3 more
semanticscholar   +1 more source

The mechanisms of integral membrane protein biogenesis

Nature Reviews Molecular Cell Biology, 2021
Ramanujan Shankar Hegde, Robert J Keenan
exaly  

On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system

Physica A: Statistical Mechanics and its Applications
Binyan Yu, Yongshun Liang
semanticscholar   +1 more source

New Result on Finite-Time Stability for Caputo–Katugampola Fractional-Order Neural Networks with Time Delay

Neural Processing Letters, 2023
Shui Xiao, Jianli Li
semanticscholar   +1 more source