Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions

Lachouri, Adel; Ardjouni, Abdelouaheb; Gouri, Nesrine; Khelil, Kamel Ali

doi:10.1007/s40863-021-00273-w

São Paulo J. Math. Sci.

2021

DOI: 10.1007/s40863-021-00273-w

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Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions

Adel Lachouri

Abdelouaheb Ardjouni

Nesrine Gouri

et al.

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On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

Nasir¹,

Qaisar²,

Butt³

et al. 2022

MATH

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<abstract><p>In the present paper, we extend and develop a qualitative analysis for a class of nonlinear fractional inclusion problems subjected to nonlocal integral boundary conditions (nonlocal IBC) under the $ \varphi $-Hilfer operator. Both claims of convex valued and nonconvex valued right-hand sides are investigated. The obtained existence results of the proposed problem are new in the frame of a $ \varphi $-Hilfer fractional derivative with nonlocal IBC, which are derived via the fixed point theorems (FPT's) for set-valued analysis. Eventually, we give some illustrative examples for the acquired results.</p></abstract>

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On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

Nasir¹,

Qaisar²,

Butt³

et al. 2022

MATH

View full text Add to dashboard Cite

show abstract

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Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions

Cited by 1 publication

References 21 publications

On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

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