q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem

Gholami Bahnamiri, Masoumeh; Namaty, Abdolali

doi:10.22034/cmde.2024.58902.2496

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	q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem
Computational Methods for Differential Equations
مقاله 6، دوره 13، شماره 1، فروردین 2025، صفحه 73-94 اصل مقاله (392.08 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58902.2496
نویسندگان
Masoumeh Gholami Bahnamiri^* ؛ Abdolali Namaty
University of Mazandaran, Babolsar, Iran.
چکیده
In this work, we examine the existence and uniqueness(EU) of q-Exponential positive solution (q-EPS) of the hybrid q-fractional boundary value problem (q-FBVP). We prove the q-Exponential fixed point theorem (q-EFPT) with a new set $\rho_{h,e_{1}}$ in the Banach space E to check the EU of q-EPS of the q-FBVP. In the long run, an exemplum is given to show the correctness of our results.
کلیدواژه‌ها
q-Derivative؛ Positive solution؛ Mixed monotone operator؛ q-Integral؛ q-Exponential fixed point theorem

مراجع
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q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem