Existence and Ulam−Hyers stability analysis for nonlinear Langevin equation featuring two fractional orders involving anti-periodic boundary conditions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 25، دوره 16، شماره 2، اردیبهشت 2025، صفحه 313-324 اصل مقاله (431.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32088.4764 | ||
| نویسندگان | ||
| Abdol Hadi Dabbaghian1؛ Bahram Agheli2؛ Rahmat Darzi* 1 | ||
| 1Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran | ||
| 2Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| TAnti periodic conditions؛ Langevin equation؛ Existence results؛ Ulam−Hyers stability | ||
| مراجع | ||
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