Theory of Hybrid Fractional Differential Equations with Complex Order

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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JR_SCMA-15-1_005

تاریخ نمایه سازی: 22 مهر 1398

Abstract:

We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0

Keywords:

Hybrid fractional differential equations , Initial value problem , Complex order , Dhage s fixed point theorems , Existence of mild solution

Authors

Devaraj Vivek

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-۶۴۱۰۲۰, India.

Omid Baghani

Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box ۳۹۷, Sabzevar, Iran.

Kuppusamy Kanagarajan

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-۶۴۱۰۲۰, India.

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  • B. Ahmad and S.K. Ntouyas, An existence theorem for fractional ...
  • B. Ahmad and S.K. Ntouyas, Initial value problems for hybrid ...
  • R. Andriambololona, R. Tokiniaina, and H. Rakotoson, Definitions of complex ...
  • T.M. Atanackovic, S. Konjik, S. Pilipovic, and D. Zorica, Complex ...
  • O. Baghani, On fractional Langevin equation involving two fractional orders, ...
  • Sci. Numer. Simulat., 42 (2017), pp. 675-681. ...
  • B.C. Dhage, On a fixed point theorem in Banach algebras ...
  • B.C. Dhage, On some variants of Schauder s fixed point ...
  • B.C. Dhage and V. Lakshmikantham, Basic results on hybrid differential ...
  • P. Gorka, H. Prado, and J. Trujillo, The time fractional ...
  • M.A.E. Herzallah and D. Baleanu, On fractional order hybrid differential ...
  • R. Hilfer, Application of Fractional Calculus in Physics, World Scientific, ...
  • A.A. Kilbas, H.M. Srivasta, and J.J. Trujillo, Theory and Application ...
  • N. Kosmatov, Integral equations and initial value problems for nonlinear ...
  • E.R. Love, Fractional derivatives of imaginary order, J. London Math. ...
  • A. Neamaty, M. Yadollahzadeh, and R. Darzi, On fractional differential ...
  • C.M.A. Pinto and J.A.T. Machado, Complex order Van der Pol ...
  • I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999. ...
  • B. Ross and F. Northover, A use for a derivative ...
  • S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and ...
  • D. Vivek, K. Kanagarajan, and S. Harikrishnan, Dynamics and stability ...
  • D. Vivek, K. Kanagarajan, and S. Harikrishnan, Dynamics and stability ...
  • Y. Zhao, S. Sun, Z. Han, and Q. Li, Theory ...
  • نمایش کامل مراجع