Geodesic
Existence and uniqueness of the solution to a class of fractional boundary value problems using topological methods
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 615-622

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This paper investigates the existence and uniqueness of solutions to boundary value problems involving the Caputo fractional derivative in Banach space by topological structures with some appropriate conditions. It is based on the application of topological methods and fixed point theorems. Moreover, some topological properties of the solutions set are considered. Finally, an example is provided to illustrate the main results.
Keywords: fractional derivatives and integrals, topological properties of mappings, fixed point theorems. 
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     author = {Taghareed A. Faree and Satish K. Panchal},
     title = {Existence and uniqueness of the solution to a class of fractional boundary value problems using topological methods},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a7/}
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Taghareed A. Faree; Satish K. Panchal. Existence and uniqueness of the solution to a class of fractional boundary value problems using topological methods. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 615-622. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a7/