DOAJ Open Access 2023

Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces

Safia Meftah Elhabib Hadjadj Mohamad Biomy Fares Yazid

Abstrak

In this work, by using the iterative method, we discuss the existence and uniqueness of solutions for multiterm fractional boundary value problems. Next, we examine some existence and uniqueness returns for semilinear fractional differential inclusions and equations for multiterm problems by using some notions and properties on set-valued maps and give some examples to explain our main results. We explore and use in this paper the fundamental properties of set-valued maps, which are needed for the study of differential inclusions. It began only in the mid-1900s, when mathematicians realized that their uses go far beyond a mere generalization of single-valued maps.

Topik & Kata Kunci

Mathematics

Penulis (4)

Safia Meftah

Elhabib Hadjadj

Mohamad Biomy

Fares Yazid

Format Sitasi

APA MLA BibTeX

Meftah, S., Hadjadj, E., Biomy, M., Yazid, F. (2023). Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces. https://doi.org/10.3390/axioms12111063

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/axioms12111063
Akses: Open Access ✓