Towards Multiterm Dzherbashian‐Nersesian Operators: Reconstruction of a Temporal Source Term for a Fractional Integrodifferential Equation

ABSTRACT Multiterm Dzherbashian‐Nersesian (D‐N) operators are introduced and an inverse problem for a multiterm fractional integrodifferential equation involving these operators, extending the analysis to the interval , where , is investigated. This study reveals new perspectives about existence, uniqueness, and stability of solution within this broader interval. Connecting theoretical advancement with practical applications in physics and engineering, this work not only adds to the theoretical framework but also opens new avenues for real‐world applications. Our findings represent a significant shift, offering valuable insights for both theoretical and practical applications in modeling complex systems.