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ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE 被引量:3

ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE
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摘要 In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer's fixed point theorem, Banach contraction principle and Ulam type stability. In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer’s fixed point theorem, Banach contraction principle and Ulam type stability.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2019年第6期1568-1578,共11页 数学物理学报(B辑英文版)
基金 funded by the Deanship of Scientific Research(DSR),King Abdulaziz University,Jeddah,Saudi Arabia under grant no.KEP-Msc-9-130-39
关键词 Hilfer-Katugampola fractional DERIVATIVE boundary condition EXISTENCE Ulam STABILITY Hilfer-Katugampola fractional derivative boundary condition existence Ulam stability
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