This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of obtained identities, we present new trapezoid-type midpoint-type inequalities convex in context New are by taking advantage convexity property, power mean inequality, Hölder’s inequality. We show that this family generalizes previous research studies special choices. Furt...

Abstract This paper presents the solution of important types non-linear time-fractional partial differential equations via conformable Elzaki transform Homotopy perturbation method. We apply proposed technique to solve four equations. In addition, we establish results on uniqueness and convergence solution. Finally, numerical for a variety α values are briefly examined. The method performs well...

Abstract The authors propose a new method of investigation an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus newly established equality. In addition, we prove several with aid Hölder and power-mean inequalities. Furthermore, results given using special choices obtai...

The paper is devoted to the theoretical and experimental analysis of an electric circuit consisting two elements that are described by fractional derivatives different orders. These designed performed as RC ladders with properly selected values resistances capacitances. Different orders differentiation lead state-space system model, in which each state variable has a order derivative. Solutions...

In this paper, we consider the inverse nodal problem for conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition. We obtain asymptotics eigenvalues, eigenfunctions, and zeros of eigenfunctions (called points or nodes) considered operator, provide a constructive procedure solving problem, i.e., reconstruct potential functions p(x) q(...

We interpreted flow dynamics of the Kahiltna Pass Basin accumulation zone on Mount McKinley, Alaska, USA, using 40, 100 and 900MHz ground-penetrating radar profiles and GPS surface velocity measurements. We found dipping, englacial surface-conformable strata that experienced vertical thickening as the glacier flowed westward from a steep, higher-velocity (60ma) region into flat terrain associat...