Results 101 to 110 of about 145 (127)
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ON KATUGAMPOLA FRACTIONAL q-INTEGRAL AND q-DERIVATIVE
Jnanabha, 2022We 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. Next, we look at the existence and uniqueness of solution to generalized fractional q-Cauchy type problems involving
Lata Chanchlani +2 more
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Fractal dimension of Katugampola fractional integral of vector-valued functions
The European Physical Journal Special Topics, 2021Calculating fractal dimension of the graph of a function not simple even for real-valued functions. While through this paper, our intention is to provide some initial theories for the dimension of the graphs of vector-valued functions. In particular, we give a fresh attempt to estimate the fractal dimension of the graph of the Katugampola fractional ...
Megha Pandey, Tanmoy Som, Saurabh Verma
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Caputo type Fractional Differential Equation with Katugampola fractional integral conditions
2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020This manuscript aims to study the existence and uniqueness of solutions for a new class of boundary value problems of nonlinear fractional differential equations with Katugampola fractional integral conditions. Ours results are given by applying some standard fixed point theorems, the Boyd-Wong nonlinear contraction principle, and Leray-Schauder ...
Abdelatif Boutiara +2 more
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Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
Punjab University Journal of Mathematics, 2023In 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 whose second derivatives in the absolute values are F−convex.
BAYRAKTAR, BAHTİYAR +2 more
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Fractals, 2022
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.
Yao, Kui +4 more
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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.
Yao, Kui +4 more
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Fractal dimension of graph of Katugampola fractional integral and some general characterizations
The Journal of Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Priya, R. Uthayakumar
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ON MILNE-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL MULTIPLICATIVE INTEGRALS
FractalsThis 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 +4 more
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KATUGAMPOLA FRACTIONAL INTEGRAL INEQUALITIES IN MULTIPLICATIVE CALCULUS WITH MULTIPLE PARAMETERS
FractalsThis 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
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Katugampola Fractional Integrals within the Class of Convex Functions
2018The 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
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FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL KATUGAMPOLA FRACTIONAL INTEGRAL
2018[Abstract Not Available]
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