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مقالات فارسیISIکنفرانسهاژورنالها

On a generalized Caputo for Langevin fractional differential equations in Banach spaces

محل انتشار: مجله آنالیز غیر خطی و کاربردها، دوره: 14، شماره: 12
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 42

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لینک ثابت به این مقاله:
https://civilica.com/doc/1878091

شناسه ملی سند علمی:

JR_IJNAA-14-12_001

تاریخ نمایه سازی: 17 دی 1402

چکیده مقاله:

In this research article, we study the existence, uniqueness and Ulam-Hyers stability of solutions in connection to the generalized Caputo Langevin fractional differential equations in Banach Space. The existence, uniqueness, and stability in the sense of Ulam are established for the proposed system. Our approach is based on the technique of measure of noncompactness combined with the Monch fixed point theorem, the implementation Banach contraction principle fixed point theorem.  Moreover,  the Ulam--Hyers stability is discussed by utilizing the Urs's. Lastly, we deliver an example to check the efficiency and accuracy of the proposed methods.

کلیدواژه ها:

Fractional Langevin equation ، \psi-Caputo ، Ulam-Hyers stability ، Kuratowski measures of noncompactness ، fixed point theorems ، Banach space

نویسندگان

Abdelatif Boutiara

Laboratory of Mathematics And Applied Sciences, University of Ghardaia, ۴۷۰۰۰ Ghardaia. Algeria

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