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صفحه نخست /SOME NEW EXISTENCE RESULTS ...
عنوان SOME NEW EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVE
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها ψ−Caputo fractional derivative, Boundary value problem (BVP), α–φ−Geraghty contractive type mapping, Fixed point (FP)
چکیده This paper concerns the boundary value problem for a fractional differential equation involving a generalized Caputo fractional derivative in b−metric spaces. The used fractional operator is given by the kernel k(t, s) = ψ(t) − ψ(s) and the derivative operator 1/ψ0(t) d/dt . Some existence results are obtained based on fixed point theorem of α-φ−Graghty contraction type mapping. In the end, we provide some illustrative examples to justify the acquired results
پژوهشگران منیره نصرتی (نفر سوم)، حجت افشاری (نفر اول)، محمد صمد عبدو (نفر دوم)