Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions

Автор(и)

  • Bilal Basti Department of Mathematics and informatics, Ziane Achour University of Djelfa, Algeria, Laboratory of Pure and Applied Mathematics, Mohamed Boudiaf University of M’sila, 28000, Algeria
  • Yacine Arioua Laboratory of Pure and Applied Mathematics, Mohamed Boudiaf University of M’sila, 28000, Algeria

DOI:

https://doi.org/10.15407/mag18.03.350

Ключові слова:

система, дробове диференцiальне рiвняння, iнтегральнi умови, iснування, єдинiсть

Анотація

У цiй роботi обговорено i дослiджено iснування i єдинiсть розв’язкiв для нового класу систем n нелiнiйних диференцiальних рiвнянь з дробовими похiдними та їх основнi властивостi, використовуючи дробову похiдну Катуґамроли з n iнтегральними умовами. Для досягнення бажаної мети застосовано теореми Шаудера i Банаха про нерухому точку та нелiнiйну альтернативу типу Лере–Шаудера. Для того, щоб продемонструвати кориснiсть наших основних результатiв, у роботi надано декiлька прикладiв.

Mathematical Subject Classification 2010: 26A33, 34A08, 34A12, 34A34

 

Посилання

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Basti, B. .; Arioua, Y. . Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions. Журн. мат. фіз. анал. геом. 2022, 18, 350-367.

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Том 18 № 3 (2022)

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