Existence of solutions on a nonlinear boundary value problem including Hilfer fractional q-derivative

Author(s):

MohammadEsmael Samei , Alireza Hatami

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we introduce an extension of the Hilfer fractional derivative, the "Hilfer fractional quantum derivative", and establish some of its properties. Then, we introduce and discuss initial and boundary value problems involving the Hilfer fractional quantum derivative. The existence of a unique solution of the considered problems is established via Banach's contraction mapping principle. Examples illustrating the obtained results are also presented.

Keywords:

Quantum calculus , Hilfer derivative , existence , uniqueness of solution of problem

Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:13 Issue: 3, 2023
Pages:
355 to 375
https://www.magiran.com/p2670230  
سامانه نویسندگان
  • Mohammad Esmael Samei
    Corresponding Author (1)
    Associate Professor Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran, Bu-Ali Sina University, Hamedan, Iran
    Samei، Mohammad Esmael
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