Existence and Ulam−Hyers stability analysis for nonlinear Langevin equation featuring two fractional orders involving anti-periodic boundary conditions
عنوان مقاله: Existence and Ulam−Hyers stability analysis for nonlinear Langevin equation featuring two fractional orders involving anti-periodic boundary conditions
شناسه ملی مقاله: JR_IJNAA-16-2_025
منتشر شده در در سال 1404
شناسه ملی مقاله: JR_IJNAA-16-2_025
منتشر شده در در سال 1404
مشخصات نویسندگان مقاله:
Abdol Dabbaghian - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
Bahram Agheli - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Rahmat Darzi - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
خلاصه مقاله:
Abdol Dabbaghian - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
Bahram Agheli - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Rahmat Darzi - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
This paper presents an investigation of the existence and the unique feature of solutions for nonlinear Langevin equations involving two fractional orders with anti-periodic boundary conditions (APBCs). As a result of employing some fixed point theorems like Schauder and contraction mapping principles, the existence and uniqueness of solutions are examined. On top of this, the stability within the scope of Ulam–Hyers of solutions to this problem is also considered. The distinctive features of the present study are its similar variant and the existence of derivatives of Caputo and Riemann in the problem structure. Finally, to illustrate the result of the study, an example is presented.
کلمات کلیدی: TAnti periodic conditions, Langevin equation, Existence results, Ulam−Hyers stability
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2041081/