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

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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.

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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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Foydalanilgan adabiyotlar

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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

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