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

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. © 2022 John Wiley & Sons, Ltd.

Authors
Agarwal P. 1, 2, 3, 4 , Baltaeva U.5, 6 , Vaisova N.1, 5
Conference proceedings
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
Status
Published
DOI
10.1002/MMA.8314
Year
2022
Organizations
  • 1 Applied Nonlinear Science Lab, Anand International College of Engineering, Jaipur, India
  • 2 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
  • 3 International Center for Basic and Applied Sciences, Jaipur, India
  • 4 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 5 Khorezm Mamun Academy, Khiva, Uzbekistan
  • 6 Department of Applied Mathematics, Urgench State University, Urgench, Uzbekistan
  • 7 Department of Exact Sciences, Khorezm Mamun Academy, Khiva, Uzbekistan
Keywords
Cauchy problem; loaded equation; mixed-type equation; Riemann–Liouville fractional derivatives
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