Geodesic
Employing Kuratowski measure of non-compactness for positive solutions of system of singular fractional q-differential equations with numerical effects
Filomat, Tome 34 (2020) no. 9, p. 2971

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In this work, we investigate the existence of solutions for the system of two singular fractional q-differential equations under integral boundary conditions via the concept of Caputo fractional q-derivative and fractional Riemann-Liouville type q-integral. Some new sxistence results are obtained by applying Krattowski measure of non-compactness. Also, the Darbo’s fixed point theorem and the Lebesgue dominated convergence theorem are the main tools in deriving our proofs. Lastly, we present an example illustrating the primary effects.
DOI : 10.2298/FIL2009971S
Classification : 34A08, 34B16, 39A12
Keywords: Positive solutions, Caputo q-derivative, fixed point, singularity, sum fractional q-differential equations 
Mohammad Esmael Samei. Employing Kuratowski measure of non-compactness for positive solutions of system of singular fractional q-differential equations with numerical effects. Filomat, Tome 34 (2020) no. 9, p. 2971 . doi: 10.2298/FIL2009971S
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     author = {Mohammad Esmael Samei},
     title = {Employing {Kuratowski} measure of non-compactness for positive solutions of system of singular fractional q-differential equations with numerical effects},
     journal = {Filomat},
     pages = {2971 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009971S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009971S/}
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