The present chapter deals with some existence, uniqueness, and Ulam stability results for a class of initial and boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous ...

Because of the usage of many functions as a kernel, the support vector machine method has demonstrated remarkable versatility in tackling numerous machine learning issues. Gegenbauer polynomials, like the Chebyshev and ...

In this chapter, we establish some inequalities of Hardy and Leindler type and their converses via conformable calculus with weighted functions. As applications, we obtain some classical integral inequalities as special cases.

This chapter is devoted to proving some results concerning the existence of solutions for a class of initial and boundary value problems for nonlinear fractional Hybrid differential equations and Generalized Hilfer fractional ...

This chapter deals with the existence and uniqueness results for a class of impulsive initial and boundary value problems for implicit nonlinear fractional differential equations and k-Generalized ψ -Hilfer fractional ...

We investigated the analytical solution of fractional order K(m, n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry ...

Complexity of living organisms owing to their inherent functional properties points toward a systems biology approach due to the fact that structural and topological uncertainties exist along with abrupt transitions ...

This chapter reviews new analytical methods for a family of differential equations with local fractional derivatives. We concentrate mainly on Fourier series, and Fourier and Laplace transforms with local fractional ...