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• W3217604162 endingPage "251" @default.
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• W3217604162 abstract "This manuscript investigates an extended boundary value problem for a fractional pantograph differential equation with instantaneous impulses under the Caputo proportional fractional derivative with respect to another function. The solution of the proposed problem is obtained using Mittag–Leffler functions. The existence and uniqueness results of the proposed problem are established by combining the well-known fixed point theorems of Banach and Krasnoselskii with nonlinear functional techniques. In addition, numerical examples are presented to demonstrate our theoretical analysis." @default.
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• W3217604162 date "2021-12-02" @default.
• W3217604162 modified "2023-09-27" @default.
• W3217604162 title "Analysis of Impulsive Boundary Value Pantograph Problems via Caputo Proportional Fractional Derivative under Mittag–Leffler Functions" @default.
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• W3217604162 doi "https://doi.org/10.3390/fractalfract5040251" @default.
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