TY - JOUR
T1 - Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains
AU - Thabet, Sabri T.M.
AU - Vivas-Cortez, Miguel
AU - Kedim, Imed
AU - Samei, Mohammad Esmael
AU - Ayari, M. Iadh
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/8
Y1 - 2023/8
N2 - This paper is devoted to studying the (Formula presented.) -Hilfer fractional snap dynamic system under the (Formula presented.) -Riemann–Liouville fractional integral conditions on unbounded domains (Formula presented.), for the first time. The results concerning the existence and uniqueness, along with the Ulam–Hyers, Ulam–Hyers–Rassias, and semi-Ulam–Hyers–Rassias stabilities, are established in an appropriate special Banach space according to fractional calculus, fixed point theory, and nonlinear analysis. At the end, a numerical example is presented for the interpretation of the main results.
AB - This paper is devoted to studying the (Formula presented.) -Hilfer fractional snap dynamic system under the (Formula presented.) -Riemann–Liouville fractional integral conditions on unbounded domains (Formula presented.), for the first time. The results concerning the existence and uniqueness, along with the Ulam–Hyers, Ulam–Hyers–Rassias, and semi-Ulam–Hyers–Rassias stabilities, are established in an appropriate special Banach space according to fractional calculus, fixed point theory, and nonlinear analysis. At the end, a numerical example is presented for the interpretation of the main results.
KW - Ulam–Hyers–Rassias stability
KW - fixed point theorems
KW - snap system
KW - ϱ-Hilfer fractional derivatives
UR - http://www.scopus.com/inward/record.url?scp=85169020324&partnerID=8YFLogxK
U2 - 10.3390/fractalfract7080607
DO - 10.3390/fractalfract7080607
M3 - Article
AN - SCOPUS:85169020324
SN - 2504-3110
VL - 7
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 8
M1 - 607
ER -