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СУБ-ДИФФУЗИЯ ВА ТЎЛҚИН ТЕНГЛАМАЛАРИДАН ИБОРАТ АРАЛАШ ТИПДАГИ ТЕНГЛАМА УЧУН ТРИКОМИ ТИПИДАГИ МАСАЛА

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MAQOLA ANNOTATSIYASI

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Мақолада икки тартибли Хилфер ҳосилали суб-диффузия ва классик тўлқин тенгламасида иборат аралаш типдаги тенглама учун Трикоми типидаги масала аралаш соҳада ўрганилган. Асосий қўлланилган усуллар интеграл тенгламалар ва энергия интеграллари усулларидир.

MUALIFLAR

E.Karimov

enior researcher of Uzbekistan Academy of Science Institute

S.Kerbal

enior researcher of Uzbekistan Academy of Science Institute

Teglar

# задача Трикоми# Трикоми масаласи# Tricomi problem# икки тартибли Хилфер ҳосиласи# double order Hilfer’s derivative# производное Хилфера с двумя поря

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

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9. Agarwal P., Berdyshev A. S., Karimov E. T. Solvability of a non-local problem with integral transmitting condition for mixed type equation with Caputo fractional derivative. Results in Mathematics. 71(3), 2017, pp. 1235-1257

10. Karimov E. T., Berdyshev A. S., Rakhmatullaeva N. A. Unique solvability of a non-local problem for mixed-type equation with fractional derivative. Mathematical Methods in the Applied Sciences. 40(8), 2017, pp.2994-2999

11. Hilfer R. Applications of Fractional Calculus in Physics. Singapore: World Scientific, 2000.

12. Hilfer R., Luchko Y., Tomovski ˇZ. Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives. Fract. Calc. Appl. Anal. 12(3), 2009, pp.299-318

13. Bulavitsky V.M. Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer’s generalized derivative. Cybernetics and Systems Analysis, Vol.30, No 4, 2014, 570-577.

14. Karimov E.T. Tricomi type boundary value problem with integral conjugation condition for a mixed type equation with Hilfer fractional operator. Bulletin of the Institute of Mathematics, No 1, 2019, 19-26.

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