Existence and Ulam stability results for a class of boundary value problem of neutral pantograph equations with complex order

• D. Vivek ^[1] ; E. M. Elsayed ^[2] ; K. Kanagarajan ^[3]
  1. [1] PSG College of Arts & Science
  2. [2] Universidad del Rey Abdulaziz
  3. [3] Sri Ramakrishna Mission Vidyalaya College of Arts and Science

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• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 77, Nº. 3, 2020, págs. 243-256
• Idioma: inglés
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• Resumen

  • The research reported in this paper deals with the existence of solutions of boundary value problem (BVP) of nonlinear neutral pantograph equations by means of complex fractional derivative in weighted spaces. The results were interpreted with the aid of classical fixed point theorems. The Ulam–Hyers–Rassias stability and Ulam–Hyers stability of differential equations are studied by utilizing the complex fractional derivative through the fixed point method.