Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations
نویسندگان
چکیده
New properties of the first‐order Riemann–Liouville fractional integrals are proved and derivatives for equivalence class functions in analyzed. Solutions, normal solutions, generalized solutions initial value problems (IVPs) nonlinear differential equations (FDEs) with fraction introduced. The equivalences between FDEs corresponding (Volterra) integral established based on solutions. results existence uniqueness or nonnegative IVPs obtained . These applied to study IVP FDE nonlinearities related population models growth rates Ricker type.
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
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ژورنال
عنوان ژورنال: Mathematical Methods in The Applied Sciences
سال: 2023
ISSN: ['1099-1476', '0170-4214']
DOI: https://doi.org/10.1002/mma.9669