Geodesic
Existence results for nonlocal Hilfer-type integral-multipoint boundary value problems with mixed nonlinearities
Filomat, Tome 36 (2022) no. 14, p. 4751

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DOI

In this paper, we investigate the existence of solutions for Hilfer-type fractional differential equations and inclusions involving mixed nonlinearities complemented with nonlocal fractional integral-multipoint boundary conditions. Our study is based on the tools of fixed point theory for both single-valued and multi-valued maps. Examples are constructed for illustrating the obtained results. We also discuss special cases concerning Langevin equation and inclusions in the given setting.
DOI : 10.2298/FIL2214751A
Classification : 34A08, 34A12, 34A40
Keywords: Hilfer Fractional differential equations, nonlocal boundary conditions, existence, fixed point 
Ahmed Alsaedi; Afrah Assolami; Bashir Ahmad. Existence results for nonlocal Hilfer-type integral-multipoint boundary value problems with mixed nonlinearities. Filomat, Tome 36 (2022) no. 14, p. 4751 . doi: 10.2298/FIL2214751A
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     author = {Ahmed Alsaedi and Afrah Assolami and Bashir Ahmad},
     title = {Existence results for nonlocal {Hilfer-type} integral-multipoint boundary value problems with mixed nonlinearities},
     journal = {Filomat},
     pages = {4751 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214751A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214751A/}
}
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