[HTML][HTML] Chaos in fractional order financial model with fractal–fractional derivatives

KB Kachhia - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Recently, a new differential operator which combines fractal differentiation and fractional
differentiation with different kernels such as power law, exponential decay, and the Mittag …

Fractional viscoelastic models with Caputo generalized fractional derivative

N Bhangale, KB Kachhia… - … Methods in the Applied …, 2023 - Wiley Online Library
This article focuses on fractional Maxwell model of viscoelastic materials, which are a
generalization of classic Maxwell model to noninteger order derivatives. We present and …

Advances in thermal modeling and analysis of satellites

C Atar, M Aktaş - Gazi University Journal of Science, 2022 - dergipark.org.tr
There has been increasing interest in satellite design and manufacture. Satellites require
complex components that must withstand severe mechanical and thermal conditions …

A new iterative method with -Laplace transform for solving fractional differential equations with Caputo generalized fractional derivative

N Bhangale, KB Kachhia, JF Gómez-Aguilar - Engineering with Computers, 2022 - Springer
In this paper, the new iterative method with ρ ρ-Laplace transform of getting the approximate
solution of fractional differential equations was proposed with Caputo generalized fractional …

Experimental study on steady-state performance of an axial grooved heat pipe under rotational condition

Y Xie, K Sun, L Han, Z Fang, H Wu, H Zhang - Applied Thermal Engineering, 2024 - Elsevier
This study explores the performance optimization of grooved heat pipes under rotational
conditions, focusing on both straight and curved designs. To address the challenges posed …

[HTML][HTML] Fractional electromagnetic waves in plasma and dielectric media with Caputo generalized fractional derivative

N Bhangale, KB Kachhia - Revista mexicana de física, 2020 - scielo.org.mx
The wave equation has in important role in many areas of physics. This paper addresses the
solution of fractional differential equations of electromagnetic waves in plasma and dielectric …

Fractional and chaotic electrical signatures exhibited by random carbon nanotube networks

MA Hernández-Acosta, H Martínez-Gutiérrez… - Physica …, 2018 - iopscience.iop.org
Electrical and nonlinear optical properties exhibited by single-wall carbon nanotubes in thin
film form were experimentally and numerically analyzed. A vectorial two-wave mixing …

[PDF][PDF] Congruency between classical and mild solutions of Caputo fractional impulsive evolution equation on Banach Space

HR Kataria, PH Patel - International Journal of Advance Science …, 2020 - researchgate.net
Congruency between classical and mild solutions of Caputo fractional impulsive evolution
equation on Banach Space Page 1 International Journal of Advanced Science and Technology …

Existence and uniqueness of classical and mild solutions of fractional Cauchy problem with impulses

V Shah, J Sharma, RK George - Malaya Journal of Matematik, 2023 - malayajournal.org
In this manuscript, we have established conditions for the existence and uniqueness of mild
and classical solutions to the fractional order Cauchy problem by including and without …

Congruence between mild and classical solutions of generalized fractional impulsive evolution equation

PH Patel, HR Kataria, JC Prajapati - Fractional Differential Equations, 2024 - Elsevier
Existence and uniqueness of mild and classical solutions of generalized fractional order
impulsive evolution equation in which a perturbing force is different after every impulse are …