A New Class of  ψ -Caputo Fractional Differential Equations and Inclusion | Zendy

Wafa Shammakh | Zendy; Hadeel Z. Alzumi | Zendy; Bushra A. AlQahtani | Zendy

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A New Class of

ψ

-Caputo Fractional Differential Equations and Inclusion

Author(s) -

Wafa Shammakh,

Hadeel Z. Alzumi,

Bushra A. AlQahtani

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6677959

Subject(s) - mathematics , fractional calculus , class (philosophy) , operator (biology) , boundary (topology) , differential operator , differential inclusion , boundary value problem , pure mathematics , algebra over a field , mathematical analysis , computer science , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene

In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ -Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and ψ -Riemann–Liouville fractional integral operator of order γ boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.

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