A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point method

被引：75

作者：

Panda, Sumati Kumari ^{[1
]}

Abdeljawad, Thabet ^{[2
]}

Ravichandran, C. ^{[3
]}

机构：

[1] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] Kongunadu Arts & Sci Coll Autonomous, PG & Res Dept Math, Coimbatore 641029, Tamil Nadu, India

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 130卷 / 130期

关键词：

Complex valued double controlled metric space; Complex valued extended metric space; Complex valued controlled metric space; Riemann-Liouville integral; Complex valued Atangana-Baleanu integral operator and telegraph equation; SIMULATIONS; THEOREMS;

D O I：

10.1016/j.chaos.2019.109439

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper involves complex valued versions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation. Under various suitable assumptions the results are established in the setting of complex valued double controlled metric space. Thereafter, by making consequent use of the fixed point method, short and simple proofs are obtained for solutions of Riemann-Liouville integral, complex valued Atangana-Baleanu integral operator and non-linear Telegraph equation. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：11

共 18 条

[1] Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators
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[9] Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana-Baleanu time fractional derivative
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[10] THE DEPENDENCE OF LOCAL INTEGRAL MANIFOLDS OF NON-LINEAR EQUATION IN THE NEIGHBORHOOD OF A COMPLEX REST POINT ON PARAMETERS
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DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1980, (03): : 18 - 21

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