Geodesic
Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces
Filomat, Tome 37 (2023) no. 30, p. 10171

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DOI

Studying various fixed point theorems on Banach spaces such as the Darbo's fixed point theorem, has recently proved to be quite effective while doing research on existence problems. We here use a contraction operator to demonstrate a modified Darbo-type fixed point result with the intention to study the existence of solutions of infinite system of nonlinear q-fractional boundary value problem in the Banach spaces. Towards the end, reasonable example is presented to validate our findings.
DOI : 10.2298/FIL2330171M
Classification : 47H10, 45G15, 46B45, 47H08
Keywords: Sequence space, q-calculus, Darbo-type theorem, Banach space, Measure of noncompactness 
S A Mohiuddine; Anupam Das; Abdullah Alotaibi. Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces. Filomat, Tome 37 (2023) no. 30, p. 10171 . doi: 10.2298/FIL2330171M
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     author = {S A Mohiuddine and Anupam Das and Abdullah Alotaibi},
     title = {Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in {Banach} spaces},
     journal = {Filomat},
     pages = {10171 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330171M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330171M/}
}
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