STABILITY ANALYSIS OF CONFORMABLE FRACTIONAL SYSTEMS

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REZAZADEH H.; AMINIKHAH H.; REFAHI SHEIKHANI A.H.

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Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2017 | Volume:7 | Issue:1 Page(s): 13-32

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Title

STABILITY ANALYSIS OF CONFORMABLE FRACTIONAL SYSTEMS

Author(s)

REZAZADEH H. | AMINIKHAH H. | REFAHI SHEIKHANI A.H. | Issue Writer Certificate

Keywords

STABILITY ANALYSISQ1

ASYMPTOTICAL STABILITYQ1

CONFORMABLE FRACTIONAL DERIVATIVEQ1

LOTKA-VOLTERRA SYSTEMQ1

Abstract

In this paper, we investigate STABILITY ANALYSIS of fractional differential systems equipped with the CONFORMABLE FRACTIONAL DERIVATIVEs. Some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional Laplace transform. More-over, we check the stability of conformable fractional LOTKA-VOLTERRA SYSTEM with the multi-step homotopy perturbation method to demonstrate the efficiency and effectiveness of the proposed procedure.

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APA: Copy

REZAZADEH, H., AMINIKHAH, H., & REFAHI SHEIKHANI, A.H.. (2017). STABILITY ANALYSIS OF CONFORMABLE FRACTIONAL SYSTEMS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 7(1), 13-32. SID. https://sid.ir/paper/260854/en

Vancouver: Copy

REZAZADEH H., AMINIKHAH H., REFAHI SHEIKHANI A.H.. STABILITY ANALYSIS OF CONFORMABLE FRACTIONAL SYSTEMS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2017;7(1):13-32. Available from: https://sid.ir/paper/260854/en

IEEE: Copy

H. REZAZADEH, H. AMINIKHAH, and A.H. REFAHI SHEIKHANI, “STABILITY ANALYSIS OF CONFORMABLE FRACTIONAL SYSTEMS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 7, no. 1, pp. 13–32, 2017, [Online]. Available: https://sid.ir/paper/260854/en

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