Some novel analysis of two different Caputo-type fractional-order boundary value problems
Nowadays, a number of classical order results are being analyzed in the sense of fractional derivatives. In this research work, we discuss two different boundary value problems. In the first half of the paper, we generalize an integer-order boundary value problem into fractional-order and then we de...
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| Published in | Results in nonlinear analysis Vol. 5; no. 3; pp. 299 - 311 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
30.09.2022
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| Online Access | Get full text |
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| Summary: | Nowadays, a number of classical order results are being analyzed in
the sense of fractional derivatives. In this research work, we
discuss two different boundary value problems. In the first half of
the paper, we generalize an integer-order boundary value problem
into fractional-order and then we demonstrate the existence and
uniqueness of the solution subject to the Caputo fractional
derivative. First, we recall some results and then justify our main
results with the proofs of the given theorems. We conclude our
results by presenting an illustrative example. In the other half of
the paper, we extend the Banach's contraction theorem to prove the
existence and uniqueness of the solution to a sequential Caputo
fractional-order boundary value problem. |
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| ISSN: | 2636-7556 2636-7556 |
| DOI: | 10.53006/rna.1114063 |