New results of the ρ-Jafari transform and their application to linear and nonlinear generalized fractional differential equations

• Autores: Ali Khalouta
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 58, Nº. 1, 2024, págs. 25-46
• Idioma: varios idiomas
• Títulos paralelos:
  • Nuevos resultados de la transformada de ρ-Jafari y su aplicación a ecuaciones diferenciales fraccionarias generalizadas lineales y no lineales
• Enlaces
  • Texto completo
• Resumen

  • Recently Hossein Jafari introduced a new general integral transform called Jafari transform to solve higher order initial value problems and integral equations. The main objective of this paper is to modify this integral transform that we call the ρ-Jafari transform and to study its properties. Then, we present interesting results and apply them to solve linear and nonlinear generalized fractional differential equations. The results obtained confirmed that the ρ-Jafari transform acts as a powerful tool for generalized fractional problems. As a result, we assert that in the future, the modified transform can be applied to many generalized fractional differential equations that arise in applied science and engineering.

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