On abstract Hilfer fractional integrodifferential equations with boundary conditions

Sabri T.M. Thabet; Bashir Ahmad; Ravi P. Agarwal

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On abstract Hilfer fractional integrodifferential equations with boundary conditions

机译：在抽象的Hilfer分数积分型方程与边界条件

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In this paper, we study a Cauchy-type problem for Hilfer fractional integrodifferential equations with boundary conditions. The existence of solutions for the given problem is proved by applying measure of noncompactness technique in an abstract weighted space. Moreover, we use generalized Gronwall inequality with singularity to establish continuous dependence and uniqueness of ?-approximate solutions.

机译：在本文中，我们研究了具有边界条件的Hilfer分数积分型方程的Cauchy型问题。通过在抽象加权空间中的非兼容技术衡量来证明了给定问题的解决方案。此外，我们使用奇点使用普遍的Gronwall不等式来建立持续的依赖性和唯一性？ - 批量解决方案。

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《Arab Journal of Mathematical Sciences》 |2020年第2期|共19页
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Sabri T.M. Thabet; Bashir Ahmad; Ravi P. Agarwal;
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Hilfer fractional integrodifferential equationsBoundary conditionsM?nch fixed point theoremMeasure of noncompactnessExistenceContinuous dependence26A3334A0834B1534A1247H08;

机译：HILFER分数积分分配方程界面条件：非兼容性提出的依赖性依赖性的NCH固定点定述26A3334A0834B1534A1247H08;

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2. On fractional delay integrodifferential equations with four-point multiterm fractional integral boundary conditions [J] . Shri Akiladevi, K. Balachandran Acta Mathematica Universitatis Comenianae . 2017,第2期

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3. Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions [J] . Bashir Ahmad, JuanJ Nieto Boundary value problems . 2009,第1期

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4. Existence for Impulsive Fractional Integrodifferential Equations with Nonlocal Conditions [C] . Ying Sun, Zhenlai Han International congress on mathematical biology;ICMB2011 . 2011

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5. Generalized Monotone Iterative Techniques for Fractional Differential Equations with Boundary Conditions. [D] . Ramirez-Valdez, Juan Diego. 2012

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On abstract Hilfer fractional integrodifferential equations with boundary conditions

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