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This research article deals with the Mittag-Leffler-Hyers-Ulam stability of linear and impulsive fractional order differential equation which involves the Caputo derivative. The application of the generalized fractional Fourier transform method and fixed point theorem, evaluates the existence, uniqueness and stability of solution that are acquired for the proposed non-linear problems on Lizorkin space. Finally, examples are introduced to validate the outcomes of main result.
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참고문헌 (20)
참고문헌 신청
A. A. Kilbas / 2010 / Fractional Fourier transform in the framework of fractional calculus operator / Integral Transforms and Special Functions 21:779~795
H. Dai / 2017 / A new fractional wavelet transform / Communications in Non-linear Science Numerical Simulation 44:19~36
G. D. Medina / 2017 / Fractional Laplace transform and fractional calculus / International Mathematical Forum 12:991~1000
A. K_l__cman / 2016 / Note on fractional Mellin transform and applications / SpringerPlus 5(1):1~8
A. Prasad / 2013 / The fractional Hankel transform of certain tempered distributions and pseudo-di_erential distributions / Annali Dell'universita'di Ferrara 59(1):141~158
H. Dai / 2017 / A new fractional wavelet transform / Communications in Non-linear Science Numerical Simulation 44:19~36
G. D. Medina / 2017 / Fractional Laplace transform and fractional calculus / International Mathematical Forum 12:991~1000
A. K_l__cman / 2016 / Note on fractional Mellin transform and applications / SpringerPlus 5(1):1~8
A. Prasad / 2013 / The fractional Hankel transform of certain tempered distributions and pseudo-di_erential distributions / Annali Dell'universita'di Ferrara 59(1):141~158
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