Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

Aziz Khan; Muhammed I. Syam; Akbar Zada; Hasib Khan

doi:10.1140/epjp/i2018-12119-6

Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

Aziz Khan
, Muhammed I. Syam
, Akbar Zada
, Hasib Khan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

86 Citations (Scopus)

Abstract

In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕ_p based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.

Original language	English
Article number	264
Journal	European Physical Journal Plus
Volume	133
Issue number	7
DOIs	https://doi.org/10.1140/epjp/i2018-12119-6
Publication status	Published - Jul 1 2018

ASJC Scopus subject areas

General Physics and Astronomy

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10.1140/epjp/i2018-12119-6

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title = "Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives",

abstract = "In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕp based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.",

author = "Aziz Khan and Syam, \{Muhammed I.\} and Akbar Zada and Hasib Khan",

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PY - 2018/7/1

Y1 - 2018/7/1

N2 - In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕp based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.

AB - In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕp based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.

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JO - European Physical Journal Plus

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Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

Abstract

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