@article{article_419363, title={Fractional Ulam-stability of fractional impulsive differential equation involving Hilfer-Katugampola fractional differential operator}, journal={Universal Journal of Mathematics and Applications}, volume={1}, pages={106–112}, year={2018}, DOI={10.32323/ujma.419363}, author={Harikrishnan, S. and Ibrahim, Rabha and Kanagarajan, K.}, keywords={Fractional calculus,fractional differential equations,fractional differential operator}, abstract={<p> <font face="Times New Roman, Times, serif" size="3">In this note, we set up existence, uniqueness as well as the stability of a special class of fractional differential equation (FDE) with Hilfer-Katugampola fractional differential operator (HKFDO). The outcomes are given by employing the Schaefer’s fixed point theorem and Banach contraction principle. Moreover, we modify the fractional Ulam stability (FUS) concept utilizing HKFDO. </font> <br /> </p>}, number={2}, publisher={Emrah Evren KARA}