237 citations · 538 across the 32 of their papers we have counts for
12 papers · 1 filter
On fractional derivatives with exponential kernel and their discrete versions
Thabet Abdeljawad, Dumitru Baleanu
In this manuscript we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. Then, we provide the integration by parts form…
Monotonicity Results for Delta and Nabla Caputo and Riemann Fractional Differences via dual identities
Thabet Abdeljawad, Baahaaeldin Abdalla
Recently, some authors have proved monotonicity results for delta and nabla fractional differences separately. In this article, we use dual identities relating delta and nabla frac…
On conformable fractional calulus
Thabet Abdeljawad
Recently, the authors Khalil, R., Al Horani, M., Yousef. A. and Sababheh, M., in " A new Denition Of Fractional Derivative, J. Comput. Appl. Math. 264. pp. 6570, 2014. " introduced…
The q-fractional analogue for Gronwall-type inequality
Thabet Abdeljawad, Jehad Alzabut
In this article, we utilize \emph{q}--fractional Caputo initial value problems of order to derive a \emph{q}--analogue for Gronwall--type inequality. Some particular ca…
Fractional differences and sums with binomial coefficients
Thabet Abdeljawad, Dumitru Baleanu, Fahd Jarad +1
In fractional calculus there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauc…
Dual identities in fractional difference calculus within Riemann
Thabet Abdeljawad
We Investigate two types of dual identities for Riemann fractional sums and differences. The first type relates nabla and delta type fractional sums and differences. The second typ…