عنوان
|
A new fixed point approach for solutions of a $ p $-Laplacian fractional $ q $-difference boundary value problem with an integral boundary condition
|
نوع پژوهش
|
مقاله چاپ شده
|
کلیدواژهها
|
fractional derivatives; quantom calculus; differential equations; boundary value problems; positive solution
|
چکیده
|
We explored a class of quantum calculus boundary value problems that include fractional q-difference integrals. Sufficient and necessary conditions for demonstrating the existence and uniqueness of positive solutions were stated using fixed point theorems in partially ordered spaces. Moreover, the existence of a positive solution for a boundary value problem with a Riemann-Liouville fractional derivative and an integral boundary condition was examined by utilizing a novel fixed point theorem that included a $\alpha-\eta$-Geraghty contraction. Several examples were provided to demonstrate the efficacy of the outcomes.
|
پژوهشگران
|
حجت افشاری (نفر دوم)، جهاد الضبوت (نفر سوم)، اصغر احمدخانلو (نفر اول)
|