[HTML][HTML] Physical wave propagation and dynamics of the Ivancevic option pricing model

KK Ali, S Tarla, MR Ali, A Yusuf, R Yilmazer - Results in Physics, 2023 - Elsevier
In this study, the Ivancevic option pricing model (IOPM), a nonlinear wave alternative to the
traditional Black–Scholes option pricing model, is investigated. The Ivancevic option pricing …

[HTML][HTML] Abundant closed-form solutions of the (3+ 1)-dimensional Vakhnenko-Parkes equation describing the dynamics of various solitary waves in ocean …

S Kumar, N Mann - Journal of Ocean Engineering and Science, 2022 - Elsevier
This research article is a study of the (3+ 1)-dimensional Vakhnenko-Parkes equation that
governs the propagation of high-frequency waves in a relaxing medium. To find a variety of …

[HTML][HTML] Analytical solutions of simplified modified Camassa-Holm equation with conformable and M-truncated derivatives: A comparative study

I Onder, M Cinar, A Secer, M Bayram - Journal of Ocean Engineering and …, 2024 - Elsevier
This paper extracts some analytical solutions of simplified modified Camassa-Holm (SMCH)
equations with various derivative operators, namely conformable and M-truncated …

Soliton solutions and sensitive analysis of modified equal-width equation using fractional operators

MB Riaz, A Wojciechowski, GI Oros, RU Rahman - Symmetry, 2022 - mdpi.com
In this manuscript, the novel auxiliary equation methodology (NAEM) is employed to
scrutinize various forms of solitary wave solutions for the modified equal-width wave (MEW) …

A new analytical approach to the (1+ 1)-dimensional conformable Fisher equation

G Yel, M Kayhan, A Ciancio - Mathematical Modelling and …, 2022 - dergipark.org.tr
In this paper, we use an effective method which is the rational sine-Gordon expansion
method to present new wave simulations of a governing model. We consider the (1+ 1) …

[HTML][HTML] Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model

KK Ali, MA Maaty, M Maneea - Alexandria Engineering Journal, 2023 - Elsevier
This research investigates the time fractional Ivancevic option pricing model and presents
two distinct solution methods: the invariant subspace method for obtaining exact solutions …

Abundant exact solutions for the deoxyribonucleic acid (DNA) model

MA Abdou, L Ouahid, JS Al Shahrani… - … Journal of Modern …, 2022 - World Scientific
In this study, the improved (℘′/℘) expansion method and Exp a function method are used
to construct the newly closed-form exact solutions for the deoxyribonucleic acid (DNA) …

Computational analysis of local fractional LWR model occurring in a fractal vehicular traffic flow

VP Dubey, D Kumar, HM Alshehri, S Dubey… - Fractal and …, 2022 - mdpi.com
In this paper, we implement computational methods, namely the local fractional natural
homotopy analysis method (LFNHAM) and local fractional natural decomposition method …

Soliton wave profiles and dynamical analysis of fractional Ivancevic option pricing model

A Jhangeer, WA Faridi, M Alshehri - Scientific Reports, 2024 - nature.com
This study dynamically investigates the mathematical Ivancevic option pricing governing
system in terms of conformable fractional derivative, which illustrates a confined Brownian …

Dynamics of optical pulses in fiber optics with stimulated Raman scattering effect

U Younas, TA Sulaiman, J Ren - International Journal of Modern …, 2023 - World Scientific
In this paper, we discuss the propagation of optical pulses in the nonlinear optical fibers. The
generalized higher-order nonlinear Schrödinger equation (NLSE) is under consideration as …