Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

In this work, we investigate a generalization of the Tricomi problem for a loaded mixed-type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non-parallel characteristics is proven. © 2022 John Wiley & Sons, Ltd.

Authors
Baltaeva U. 1, 2 , Agarwal P. 3, 4, 5 , Momani S. 4, 6
Conference proceedings
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
State
Published
DOI
10.1002/MMA.8428
Year
2022
Organizations
  • 1 Khorezm Mamun Academy, Khiva, Uzbekistan
  • 2 Department of Applied Mathematics, Urgench State University, Urgench, Uzbekistan
  • 3 Applied Non-Liner Science Lab, Department of Mathematics, Anand International College of Engineering, Jaipur, India
  • 4 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
  • 5 Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 6 Department of Mathematics, The University of Jordan, Amman, Jordan
Keywords
boundary value problems; equations of mixed type; gluing conditions; integral equation; Riemann–Liouville fractional derivative
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Article
Balykova L.A., Zaslavskaya K.Ya., Pavelkina V.F., Pyataev N.A., Selezneva N.M., Kirichenko N.V., Ivanova A.Yu., Rodoman G.V., Kolontarev K.B., Skrupsky K.S., Simakina E.N., Mubarakshina O.A., Taganov A.V., Pushkar D.Yu.
Фармация и фармакология. Vol. 10. 2022. P.. 113-126