(k, s)-Riemann-Liouville fractional integral and applications
By M. Sarıkaya, Zoubir Dahmani, M. Kiriș, Farooq Ahmad. 2016
148 citations recorded by the source corpus.
In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/bff3712c273a2687c0383cd3b056cb924e156421
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In Applied Mathematics
- Fahd Jarad
- Thabet Abdeljawad
- Behzad Ghanbari
- Kottakkaran Sooppy Nisar
- Ahmet Ocak Akdemir
- Aftab Khan
- Saad Ihsaan Butt
- Gauhar Rahman
In Modeling and Simulation
- Fahd Jarad
- Thabet Abdeljawad
- Behzad Ghanbari
- Kottakkaran Sooppy Nisar
- Ahmet Ocak Akdemir
- Aftab Khan
- Saad Ihsaan Butt
- Gauhar Rahman
Citations in the corpus
- On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals (2020, background): “[60] proposed the idea of generalized (k, s)-fractional integrals with applications.”
- Certain inequalities via generalized proportional Hadamard fractional integral operators (2019, background): “The generalized fractional integral and its applications and Grüss-type inequalities via generalized fractional integrals can be found in [40, 42].”
- New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators (2021, background): “- If we select Φ(t) = t s+1 s+1 , for s ∈ R−{−1}, the definition overlaps with (κ, s)−fractional integral operators (see [17]).”