Results 121 to 130 of about 463 (144)

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. A iterative scheme in interval corresponding to the MCKFIDE is introduced by using a temporally semi‐discrete method based on the backward Euler difference scheme, i.e., Rothe's method.
Jinsheng Du, Cuizhi Lu, Yirong Jiang
openaire   +2 more sources

Fractal dimension of graph of Katugampola fractional integral and some general characterizations

The Journal of Analysis, 2021
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M. Priya, R. Uthayakumar
openaire   +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   +1 more source

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
openaire   +1 more source

Katugampola Fractional Integrals within the Class of Convex Functions

2018
The aim of thispaper is to the Hermite-Hadamard type inequalities for functions whose firstderivatives in absolute value is s-convex through the instrument of generalizedKatugampola fractional integrals.
YALDIZ, Hatice, AKDEMİR, Ahmet Ocak
openaire   +1 more source

New Result for the Analysis of Katugampola Fractional-Order Systems—Application to Identification Problems

Mathematics, 2022
Omar, Assaad Jmal, Omar NAIFAR
exaly  

New integral inequalities of Hermite–Hadamard type via the Katugampola fractional integrals for strongly $$\eta$$-quasiconvex functions

Journal of Analysis, 2020
Seth Kermausuor, Eze R Nwaeze
exaly  

New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals

Symmetry, 2020
Adem Kiliçman
exaly  

Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions

Chaos, Solitons & Fractals, 2022
Subhash Chandra, Syed Abbas
openaire   +2 more sources

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
Adem Kiliçman
exaly