full
search.png

Search

close.png

Cancel

arrow
Volume 35, Issue 2
Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives

Yuexiang Wu, Yanmei Huo & Huadong Liang

DOI: 10.13447/j.1674-5647.2019.02.04

Commun. Math. Res., 35 (2019), pp. 129-138.

Published online: 2019-12

Preview Purchase PDF 2585 34668

Cited by

google scholar semantic scholar
Export citation
  • Abstract

A class of nonlinear fractional differential equations with conformable fractional differential derivatives is studied. Firstly, Green's function and its properties are given. Secondly, some new existence and multiplicity conditions of positive solutions are obtained by the use of Leggett-Williams fixed-point theorems on cone.

  • Keywords

conformable fractional derivative, singular Green's function, fractional differential equation

  • AMS Subject Headings

34A08, 34B16

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wuyuexiang282@126.com (Yuexiang Wu)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-129, author = {Wu , YuexiangHuo , Yanmei and Liang , Huadong}, title = {Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {129--138}, abstract = {

A class of nonlinear fractional differential equations with conformable fractional differential derivatives is studied. Firstly, Green's function and its properties are given. Secondly, some new existence and multiplicity conditions of positive solutions are obtained by the use of Leggett-Williams fixed-point theorems on cone.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.04}, url = {http://global-sci.org/intro/article_detail/cmr/13485.html} }
TY - JOUR T1 - Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives AU - Wu , Yuexiang AU - Huo , Yanmei AU - Liang , Huadong JO - Communications in Mathematical Research VL - 2 SP - 129 EP - 138 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.04 UR - https://global-sci.org/intro/article_detail/cmr/13485.html KW - conformable fractional derivative, singular Green's function, fractional differential equation AB -

A class of nonlinear fractional differential equations with conformable fractional differential derivatives is studied. Firstly, Green's function and its properties are given. Secondly, some new existence and multiplicity conditions of positive solutions are obtained by the use of Leggett-Williams fixed-point theorems on cone.

Wu , YuexiangHuo , Yanmei and Liang , Huadong. (2019). Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives. Communications in Mathematical Research . 35 (2). 129-138. doi:10.13447/j.1674-5647.2019.02.04
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard