عنوان	Existence and uniqueness outcomes for a nonlinear fractional differential equation of high order featuring nonlocal boundary conditions
نوع پژوهش	مقاله‌ی منتشر شده در نشریه
کلیدواژه‌ها	Fractional differential equations, Integral boundary conditions, Riemann-liouville derivative, Fixed point theorem
چکیده	This study centers on establishing the existence of a unique solution for a class of fractional differential equations that incorporate the Riemann-Liouville fractional derivative. The boundary conditions encompass a nonlocal condition involving integration in a sub-domain near the boundary. Initially, the precise solution is derived for the linear fractional differential equation. Subsequently, the Banach contraction mapping theorem is employed to establish the primary result for the general nonlinearity of the source term. Additionally, the validity and applicability of our primary result are illustrated through a specific example.
پژوهشگران	عبداله دین محمدی (نفر دوم)، الیاس شیوانیان (نفر اول)