Analysis of the family of integral equation involving incomplete types of I and (I)over-bar-functions

Article Mathematics, Applied

On the solutions for generalised multiorder fractional partial differential equations arising in physics

Sunil Dutt Purohit et al.

Summary: In this article, solutions of a generalised multiorder fractional partial differential equations involving the Caputo time-fractional derivative and the Riemann-Liouville space fractional derivatives are studied using the Laplace-Fourier transform technique. The proposed equations can be reduced to the Schrodinger equation, wave equation, and diffusion equation in a more general sense. Solutions of the equation proposed in the stochastic resetting theory in the context of Brownian motion are also found in a general regime.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

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Article Mathematics, Interdisciplinary Applications

Fractionalized mathematical models for drug diffusion

Shyamsunder et al.

Summary: This study develops mathematical models to explain drug distribution in the human body. By analyzing diffusion processes and concentration changes, the general solution for drug concentration and the impact of fractional parameters are demonstrated.

CHAOS SOLITONS & FRACTALS (2022)

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Article Engineering, Multidisciplinary

Numerical modeling on age-based study of coronavirus transmission

Shyamsunder Kumawat et al.

Summary: A new study examines the transmission dynamics of COVID-19 in Ethiopia based on age categories. Using mathematical modeling, the study calculates the basic reproduction number and analyzes the equilibrium points of the disease. The findings are validated using data from Ethiopian health organizations.

APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING (2022)

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Article Multidisciplinary Sciences

The Impact on Raise of Environmental Pollution and Occurrence in Biological Populations Pertaining to IncompleteH-function

S. D. Purohit et al.

Summary: This article discusses the impact of increased environmental pollution on the occurrence of biological populations by presenting a mathematical model related to incomplete H-function. The results proven in this paper are common in mathematical sciences and show various interesting cases under relevant parameter conditions.

NATIONAL ACADEMY SCIENCE LETTERS-INDIA (2021)

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Article Mathematics