Results 201 to 210 of about 12,358 (240)

On Weighted Fractional Calculus With Respect to Functions

Mathematical methods in the applied sciences
This paper aims to further explore the existing theory of weighted fractional operators with respect to functions. This theory extends some fundamental results of classical Riemann–Liouville and Caputo fractional derivatives to their weighted ...
Tazeen Zahra, Hafiz Muhammad Fahad, Mujeeb ur Rehman   +2 more
semanticscholar   +1 more source

A Generalization to Ordinary Derivative and its Associated Integral with some applications

Punjab University journal of mathematics, 2023
This paper proposes a generalization to the ordinary derivative, the deformable derivative. For this, we employ a limit approach like the ordinary derivative but use a parameter varying over the unit interval.
Fahed Zulfeqarr, Amit Ujlayan, Priyanka Ahuja   +2 more
semanticscholar   +1 more source

MODELING AND ANALYSIS OF NOVEL COVID-19 UNDER FRACTAL-FRACTIONAL DERIVATIVE WITH CASE STUDY OF MALAYSIA

, 2020
In this paper, new model on novel coronavirus disease (COVID-19) with four compartments including susceptible, exposed, infected, and recovered class with fractal-fractional derivative is proposed Here, Banach and Leray–Schauder alternative type theorems
Zeeshan Ali, F. Rabiei, K. Shah, T. Khodadadi   +3 more
semanticscholar   +1 more source

Gronwall’s inequality and stability analysis of nonlinear fractional difference equations

Journal of Nonlinear, Complex and Data Science
This paper investigates the existence and uniqueness of solutions for nonlinear fractional difference equations of the Hilfer type using Brouwer’s and Banach’s fixed-point theorems.
Anshul Sharma, S. N. Mishra, Anurag Shukla   +2 more
semanticscholar   +1 more source

First Step to Spectral Theory with Generalized M Derivative and Applications

Journal of Fractional Calculus and Nonlinear Systems
In this article, several fundamental spectral results are established for the Sturm–Liouville problem with discrete boundary conditions involving the generalized M-derivative. The paper is organized into four sections.
M. Karaoglan, E. Bas
semanticscholar   +1 more source

Signatures of fractional quantum anomalous Hall states in twisted MoTe2

Nature, 2023
, Eric Anderson, Chong Wang
exaly  

Thermodynamic evidence of fractional Chern insulator in moiré MoTe2

Nature, 2023
, Patrick Knüppel, Kenji Watanabe
exaly  

Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature, 2021
Yonglong Xie, Jeong Min Park, Daniel E Parker   +2 more
exaly  

RIEMANN-LIOUVILLE FRACTIONAL FUNDAMENTAL THEOREM OF CALCULUS AND RIEMANN-LIOUVILLE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY AND ITS EXTENSION TO CHOQUET INTEGRAL SETTING

, 2019
G. Anastassiou
semanticscholar   +1 more source

Q Operator to Right Fractional Calculus with General Kernel Functions: Euler-Lagrange Equations and Terminal Value Problems

International Journal of Applied and Computational Mathematics
Qingduan Fan, Lan-Lan Huang
semanticscholar   +1 more source