FRACTIONAL CAUCHY PROBLEMS FOR INFINITE INTERVAL CASE

MOHAMMED AL HORANI; MAURO FABRIZIO; ANGELO FAVINI; HIROKI TANABE

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FRACTIONAL CAUCHY PROBLEMS FOR INFINITE INTERVAL CASE

机译：无限间隔案例的分数Cauchy问题

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We are devoted with fractional abstract Cauchy problems. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. An inverse problem is also studied. Applications from partial differential equations are given to illustrate the abstract fractional degenerate differential problems.

机译：我们致力于分数抽象的Cauchy问题。保证解决方案存在和唯一性的空间和运营商的所需条件。还研究了逆问题。给出部分微分方程的应用来说明抽象的分数堕落差异问题。

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《Discrete and continuous dynamical systems▼hSeries S》 |2020年第12期|3285-3304|共20页
作者
MOHAMMED AL HORANI; MAURO FABRIZIO; ANGELO FAVINI; HIROKI TANABE;
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作者单位

Department of Mathematics The University of Jordan Amman Jordan;

Dipartimento di Matematica Universita di Bologna Piazza di Porta S. Donato 5 – 40126 Bologna Italy;

Dipartimento di Matematica Universita di Bologna Piazza di Porta S. Donato 5 – 40126 Bologna Italy;

Takarazuka Hirai Sanso 12-13 665-0817 Japan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Fractional derivative; abstract Cauchy problem; evolution equations; inverse problem;

机译：分数衍生物;抽象的cauchy问题;进化方程;反问题;

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专利

1. Cauchy problem on fractional integro-differential evolution equations with infinite delay in fractional power space [J] . Jie Xin, JinRong Wang International journal of dynamical systems and differential equations . 2012,第4期

机译：分数次幂空间中具有无限时滞的分数阶积分-微分演化方程的柯西问题
2. The Cauchy type problem for interval-valued fractional differential equations with the Riemann-Liouville gH-fractional derivative [J] . Yonghong Shen Advances in Difference Equations . 2016,第1期

机译：Riemann-Liouville gH-分数阶导数的区间值分数阶微分方程的Cauchy型问题
3. The Cauchy type problem for interval-valued fractional differential equations with the Riemann-Liouville gH-fractional derivative [J] . Yonghong Shen Advances in Difference Equations . 2016,第1期

机译：Riemann-Liouville gH-分数阶导数的区间值分数阶微分方程的Cauchy型问题
4. The Infinitely Divisible Characteristic Function of Compound Poisson Distribution as the Sum of Variational Cauchy Distribution [C] . D Devianto, Sarah, H Yozza, International Conference on Research, Implementation, and Education Mathematics and Science . 2020

机译：复合泊松分布的无限可分离的特征函数作为变分Cauchy分布的总和
5. A generalization of the Wiener rational basis functions on infinite intervals. [D] . Narayan, Akil. 2009

机译：维纳有理基函数的推广是在无限区间上的。
6. A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation [O] . Kangle Wang, Sanyang Liu -1

机译：分数阶柯西反应扩散方程的Sumudu变换迭代法
7. Fractional Cauchy Problems for Infinite Interval Case-II [O] . Mohammed Al Horani, Mauro Fabrizio, Angelo Favini, 2019

机译：无限间隔案例-II的分数Cauchy问题

FRACTIONAL CAUCHY PROBLEMS FOR INFINITE INTERVAL CASE

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