TY - JOUR
T1 - Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
AU - Govindan, Vediyappan
AU - Noeiaghdam, Samad
AU - Fernandez-Gamiz, Unai
AU - Sankeshwari, Sagar Ningonda
AU - Arulprakasam, R.
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/11
Y1 - 2022/11
N2 - In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense. Moreover, this paper introduced a new concept to find the Hyers-Ulam stability of the differential equation. This is the first attempt to use the Shehu transform to prove the Hyers-Ulam stability of the differential equation. Finally, the applications and remarks are discussed to demonstrate our strategy. Applications of the Shehu transform to fractional differential equations, Newton's law of cooling, and free undamped motion are also discussed.
AB - In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense. Moreover, this paper introduced a new concept to find the Hyers-Ulam stability of the differential equation. This is the first attempt to use the Shehu transform to prove the Hyers-Ulam stability of the differential equation. Finally, the applications and remarks are discussed to demonstrate our strategy. Applications of the Shehu transform to fractional differential equations, Newton's law of cooling, and free undamped motion are also discussed.
UR - http://www.scopus.com/inward/record.url?scp=85141800847&partnerID=8YFLogxK
U2 - 10.1016/j.sciaf.2022.e01427
DO - 10.1016/j.sciaf.2022.e01427
M3 - Article
AN - SCOPUS:85141800847
SN - 2468-2276
VL - 18
JO - Scientific African
JF - Scientific African
M1 - e01427
ER -