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## Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses

#### Akbar Zada [1] , Syed Omar Shah [2]

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This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of first-order non-linear delay differential equations with fractional integrable impulses. Our approach uses abstract Grönwall lemma together with integral inequality of Grönwall type for piecewise continuous
functions
Hyers-Ulam stability, Hyers-Ulam-Rassias stability, fractional integrable impulses, Integral inequality of Grönwall type for piecewise continuous functions
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Primary Language en Mathematics Mathematics Author: Akbar ZadaInstitution: DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PESHAWARCountry: Pakistan Author: Syed Omar Shah (Primary Author)Institution: DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PESHAWARCountry: Pakistan
 Bibtex @research article { hujms471121, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe University}, year = {2018}, volume = {47}, pages = {1196 - 1205}, doi = {}, title = {Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses}, key = {cite}, author = {Zada, Akbar and Shah, Syed Omar} } APA Zada, A , Shah, S . (2018). Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses. Hacettepe Journal of Mathematics and Statistics, 47 (5), 1196-1205. Retrieved from http://dergipark.gov.tr/hujms/issue/39860/471121 MLA Zada, A , Shah, S . "Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1196-1205 Chicago Zada, A , Shah, S . "Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1196-1205 RIS TY - JOUR T1 - Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses AU - Akbar Zada , Syed Omar Shah Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1196 EP - 1205 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses %A Akbar Zada , Syed Omar Shah %T Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Zada, Akbar , Shah, Syed Omar . "Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses". Hacettepe Journal of Mathematics and Statistics 47 / 5 (October 2018): 1196-1205.