"Some Problems for the Degenerate Mixed Type Equation Involving Caputo " by Obidjon Kh. Abdullaev

Progress in Fractional Differentiation & Applications

Article Title

Some Problems for the Degenerate Mixed Type Equation Involving Caputo and Atangana-Baleanu Operators Fractional Order

Authors

Obidjon Kh. Abdullaev, Department of Differential Equations and their Applications, Institute of Mathematics named after V.I.Romanovsky. 100127, Tashkent, UzbekistanFollow

Author Country (or Countries)

Uzbekistan

Abstract

The present study investigates existence and uniqueness of solution of local problems for the degenerate parabolic-hyperbolic type equations with loaded terms involving a trace of solution in Atangana-Baleanu operators. Because, the trace of solution (i.e. u(x, 0) ) is in Atangana-Baleanu operators and hyperbolic type equation degenerates on the line y = 0, we use some properties and estimations of hyper-geometric functions on the proofing process of the uniqueness and existence of solution of the investigated problem.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060203

Recommended Citation

Kh. Abdullaev, Obidjon (2020) "Some Problems for the Degenerate Mixed Type Equation Involving Caputo and Atangana-Baleanu Operators Fractional Order," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 2, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/060203
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss2/3

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