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Caputo type Fractional Differential Equation with Katugampola fractional integral conditions

2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020
This 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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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. 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 DIMENSIONS OF KATUGAMPOLA FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS SATISFYING HÖLDER CONDITION

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

The Journal of Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Priya, R. Uthayakumar
semanticscholar   +4 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
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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
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