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STUDIA MATHEMATICA - Issue no. 4 / 2022 | |||||||
Article: |
EXISTENCE THEORY FOR IMPLICIT FRACTIONAL q-DIFFERENCE EQUATIONS IN BANACH SPACES. Authors: NADJET LALEDJ, SAÏD ABBAS, MOUFFAK BENCHOHRA, JOHNNY HENDERSON. |
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Abstract: DOI: 10.24193/subbmath.2022.4.02 Published Online: 2022-12-02 Published Print: 2022-12-30 pp. 693-701 VIEW PDF FULL PDF This paper deals with some existence results for a class of implicit fractional q-difference equations. The results are based on the fixed point theory in Banach spaces and the concept of measure of noncompactness. An illustrative example is given in the last section. Mathematics Subject Classification (2010): 26A33, 34G20. Keywords: Fractional q-difference equation, implicit, measure of noncompactness, solution, fixed point. |
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