Article

Cauchy problem for a parabolic–hyperbolic equation with non‐characteristic line of type changing

Praveen AgarwalApplied Nonlinear Science Lab Anand International College of Engineering Jaipur IndiaUmida BaltaevaDepartment of Applied Mathematics Urgench State University Urgench UzbekistanNafosat VaisovaDepartment of Exact Sciences Khorezm Mamun Academy Khiva Uzbekistan

Mathematical Methods in the Applied Sciencesjournal2022en

ABI

Abstract

In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic‐type equation. Also, for this equation, we investigate a Cauchy‐type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.

Topics

Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions

Identifiers

DOI: 10.1002/mma.8314

Citations and references

Cited by 034 references

Metrics — AkademScholar · Coming soon