[HTML][HTML] Fractional calculus approach to study temperature distribution within a spinning satellite

JC Prajapati, KB Kachhia, SP Kosta - Alexandria engineering journal, 2016 - Elsevier
This paper deals with the temperature distribution within spinning satellites and problem is
formulated in terms of fractional differential equation. Applying fractional calculus approach …

[HTML][HTML] Numerical simulation of a fractional model of temperature distribution and heat flux in the semi infinite solid

A Choudhary, D Kumar, J Singh - Alexandria Engineering Journal, 2016 - Elsevier
In this paper, a fractional model for the computation of temperature and heat flux distribution
in a semi-infinite solid is discussed which is subjected to spatially decomposing, time …

Solutions of nonlinear time fractional Klein–Gordon equations using composite fractional derivatives

KB Kachhia, JC Prajapati - Fractional Differential Equations, 2024 - Elsevier
In this chapter, the generalized iterative method has been successfully implemented for
finding exact solutions of the nonlinear time fractional Klein–Gordon equations using …

Some integral transforms involving extended generalized Gauss hypergeometric functions

J Choi, KB Kachhia, JC Prajapati… - Communications of the …, 2016 - koreascience.kr
Using the extended generalized integral transform given by Luo et al.[6], we introduce some
new generalized integral transforms to investigate such their (potentially) useful properties …

Certain image formulae and fractional kinetic equations involving extended hypergeometric functions

KB Kachhia, P Agarwal, JC Prajapati - … in Real and Complex Analysis with …, 2017 - Springer
In this chapter, our aim is to establish certain new image formulae of generalized
hypergeometric functions by using the operators of fractional calculus. Some new image …

On flow of electric current in RL circuit using Hilfer type composite fractional derivative

KB Kachhia, JC Prajapati, KS Pandya… - Proyecciones …, 2019 - SciELO Chile
This paper deals with an interdisciplinary research work between Mathematical sciences
and Electrical engineering to develop fractional model of Resistance-Inductance circuit (RL …

Fractional calculus and integral transforms of incomplete τ-hypergeometric function

N Pandey, JP Patel - Communications of the Korean Mathematical …, 2018 - koreascience.kr
In the present article, authors obtained certain fractional derivative and integral formulas
involving incomplete ${\tau} $-hypergeometric function introduced by Parmar and Saxena …

[PDF][PDF] Uniqueness of solution for impulsive fractional functional differential equation

S Singhal, PSS Uduman - Communications of the Korean …, 2018 - researchgate.net
In this research paper considering a differential equation with impulsive effect and
dependent delay and applied Banach fixed point theorem using the impulsive condition to …

[PDF][PDF] FRACTIONAL CALCULUS OPERATORS OF GENERALIZED CONFLUENT HYPERGEOMETRIC FUNCTION

JP Patel, N Pandey - International Journal of Applied Mathematics, 2016 - diogenes.bg
In the present paper, the authors establish some fractional integral and fractional derivative
formulas involving a generalized confluent type hypergeometric function introduced by …