عنوان
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SOME NEW EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVE
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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ψ−Caputo fractional derivative, Boundary value problem (BVP), α–φ−Geraghty contractive type mapping, Fixed point (FP)
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چکیده
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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
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پژوهشگران
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منیره نصرتی (نفر سوم)، حجت افشاری (نفر اول)، محمد صمد عبدو (نفر دوم)
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