In the paper, a combined form of the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, is proposed to solve fractional partial differential equations. This method ...

This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with timedependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or ...

The purpose of this study is to display the transformation in the self and identity of the protagonist Genly Ai in The Left Hand of Darkness (1969). Having spent two years on what he calls as a “damned planet”, Genly ...

In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus). Next, by consuming the generalized operator to define a ...

The Turkey includes the world's second most active faults and is geographically situated at a very high seismic activity. Research on strengthening RC (reinforced- concrete) structures without adequate earthquake resistance ...

In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima. Multiobjective ...

We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. ...

In this article, we consider a conformable boundary value problem associated with Robin type boundary conditions and present a Lyapunov-type inequality for the same. Further, we attain a lower bound on the smallest eigenvalue ...

In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in ...

In this research, the ¯q-homotopy analysis transform method (¯q-HATM) is employed to identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is extensively employed to examine tsunami waves. With ...