Browsing Matematik Bölümü by Author "Jena, Rajarama Mohan"

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A Novel Analytical Technique for the Solution of Time-Fractional Ivancevic Option Pricing Model

Jena, Rajarama Mohan; Chakraverty, S.; Baleanu, Dumitru (Elsevier B.V., 2020-07-15)

The Ivancevic option pricing model is an alternative of the standard Black–Scholes pricing equation, which signifies a controlled Brownian motion related to the nonlinear Schrodinger equation. Even though many researchers ...
A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Adel, Waleed; Rezazadeh, Hadi (2021-06-10)

In this paper, the fractional reduced differential transform method (FRDTM) is used to obtain the series solution of time-fractional seventh-order Sawada-Kotera (SSK) and Lax's KdV (LKdV) equations under initial conditions ...
Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: A comparative study

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar (2021-01-30)

The analysis of interpersonal relationships has started to become popular in the last few decades. Interpersonal relationships exist in many ways, including family, friendship, job, and clubs. In this manuscript, we have ...
New Aspects of ZZ Transform to Fractional Operators With Mittag-Leffler Kernel

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Alqurashi, Maysaa M. (2020-09-23)

In this paper, we discuss the relationship between the Zain Ul Abadin Zafar (ZZ) transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with the Mittag-Leffler kernel ...
On New Solutions of Time-Fractional Wave Equations Arising in Shallow Water Wave Propagation

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (MDPI, 2019-08)

The primary objective of this manuscript is to obtain the approximate analytical solution of Camassa-Holm (CH), modified Camassa-Holm (mCH), and Degasperis-Procesi (DP) equations with time-fractional derivatives labeled ...
On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (MDPI, 2019-08)

The present paper investigates the numerical solution of an imprecisely defined nonlinear coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to exist in the dynamical system parameters, ...
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (2021-04)

Vaccination programs for infants have significantly affected childhood morbidity and mortality. The primary goal of health administrators is to protect children against diseases that can be prevented by vaccination. In ...
Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (2020-10)

Nonlinear fractional differential equations (NFDEs) offer an effective model of numerous phenomena in applied sciences such as ocean engineering, fluid mechanics, quantum mechanics, plasma physics, nonlinear optics. Some ...

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Browsing Matematik Bölümü by Author "Jena, Rajarama Mohan"

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