New applications of the new general integral transform method with different fractional derivatives

Abstract

Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this work. We present some applications to show the effect of the general integral transform with different fractional derivatives.

Keywords

• New general integral transforms
• Laplace transforms
• Integral equation
• Caputo derivative
• Proportional Caputo derivative