Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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SUMUDU AND ELZAKI INTEGRAL TRANSFORMS FOR SOLVING SYSTEMS OF INTEGRAL AND ORDINARY DIFFERENTIAL EQUATIONS

Authors

  • Mohammad Almousa
  • Ahmad Al-Hammouri
  • Qutebah Ali Almomani
  • Mustafa Husam Alomari
  • Mustafa Mohammad Alzubaidi

Keywords:

Sumudu transforms (ST), Elzaki transform (ET), system of ordinary differential equations (system ODEs), system of integral equations (system IEs).

DOI:

https://doi.org/10.17654/0974324324004

Abstract

We present two integral transforms namely Sumudu (ST) and Elzaki (ET) transforms for solving systems of integral and ordinary differential equations. Also, we study some properties of these transforms. The presented integral transforms are new and simple for solving problems in systems of integral equations and ordinary differential equations. Some examples were successfully solved using these integral transforms. The obtained results reveal that the two integral transforms are effective.

Received: January 8, 2024;
Accepted: January 19, 2024

References

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Published

2024-02-19

Issue

Section

Articles

How to Cite

SUMUDU AND ELZAKI INTEGRAL TRANSFORMS FOR SOLVING SYSTEMS OF INTEGRAL AND ORDINARY DIFFERENTIAL EQUATIONS. (2024). Advances in Differential Equations and Control Processes, 31(1), 43-60. https://doi.org/10.17654/0974324324004

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