Results 111 to 120 of about 463 (144)

A novel technique using integral transforms and residual functions for nonlinear partial fractional differential equations involving Caputo derivatives. [PDF]

PLoS One
Khan ZA, Riaz MB, Liaqat MI, Akgül A.
europepmc   +1 more source

Trapezoidal Error Approximation by the Way of Integral Inequalities for Katugampola Fractional Integral Operator

Turkish Journal of Analysis and Number Theory, 2022
Muhammad Muddassar, Sajida Batool, Tahira Jabeen   +2 more
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Fractional epidemic model of coronavirus disease with vaccination and crowding effects. [PDF]

Sci Rep
Saleem S, Rafiq M, Ahmed N, Arif MS, Raza A, Iqbal Z, Niazai S, Khan I.   +7 more
europepmc   +1 more source

Some Grüss-type inequalities using generalized Katugampola fractional integral

AIMS Mathematics, 2020
Tariq A. Aljaaidi, Deepak B. Pachpatte
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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, Subhash Alha, Ishfaq Ahmad Mallah   +2 more
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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, Maamar Benbachir, Kaddour Guerbati   +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, Wang, Zekun, Zhang, Xia, Peng, Wenliang, Yao, Jia   +4 more
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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 whose second derivatives in the absolute values are F−convex.
BAYRAKTAR, BAHTİYAR, Valdes, Juan E. Napoles, Butt, Saad Ihsan   +2 more
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Fractal dimension of Katugampola fractional integral of vector-valued functions

The European Physical Journal Special Topics, 2021
Calculating 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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