TY  - JOUR
AU  - Ahmed, Shams A.
AU  - Elzaki, Tarig M.
AU  - Hassan, Abdelgabar Adam
AU  - Dargail, Husam E.
AU  - Barakat, Hamdy M.
AU  - Hijazi, M. S.
PY  - 2025
TI  - Applications of Elzaki transform to non-conformable fractional derivatives
JO  - AIMS Mathematics
SP  - 5264
EP  - 5284
VL  - 10
IS  - 3
AB  - This study presents the nonconformable fractional Elzaki transform (NCFET) method. We used this method to solve various fractional differential equations (FDEs) with nonconformable fractional derivatives (NCFDs). We studied and proved the basic properties and advantages of this new method. We discussed some examples and conducted a comparative study, presenting exact results through graphs and tables. The results showed that the new method worked well, was easy to use, and could correctly solve several fractional differential equations, even those with nonconformable fractional derivatives.
UR  - https://doi.org/10.3934/math.2025243
DO  - 10.3934/math.2025243