Volume 8

Issue 1

6/2018

Nasser Sweilam, Seham Al-Mekhlafi

Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model

08-01 Pages 1-31

Abstract Article

Christopher C. Tisdell

Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus

08-02 Pages 33-41

Abstract Article

Mohammed Al-Refai

Non-existence results and analytical bounds of eigenvalues for a class of fractional eigenvalue problems

08-03 Pages 43-55

Abstract Article

Dexiang Ma

Lyapunov inequalities for two kinds of higher-order multi-point fractional boundary value problems

08-04 Pages 57-71

Abstract Article

Waqas Ayub, Ghulam Farid

Some k-fractional integral inequalities for harmonically convex functions

08-05 Pages 73-93

Abstract Article

N. J. Ford, H. Moayyed, M. M. Rodrigues

Orthogonality for a class of generalised Jacobi polynomial P^α,β_ν(x)

08-06 Pages 95-110

Abstract Article

Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi, Manal Alnahdi

Existence theory for fractional-order neutral boundary value problems

08-07 Pages 111-126

Abstract Article

Silvestru Sever Dragomir

Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex

08-08 Pages 127-150

Abstract Article

M. Palani, C. C. Tisdell, A. Usachev

Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition

08-09 Pages 151-164

Abstract Article

Wafaa Benhamida, John R. Graef, Samira Hamani

Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions

08-10 Pages 165-176

Abstract Article

Ratan Kr. Giri, D. Choudhuri, Amita Soni

A problem involving a nonlocal operator

08-11 Pages 177-190

Abstract Article

T. Panigrahi, S. K. Mohapatra

Coefficient functional for the kth root transform of analytic function and applications to fractional derivatives

08-12 Pages 191-203

Abstract Article

Issue 2

12/2018

Alka Chadha, D. Bahuguna, Dwijendra N. Pandey

Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type

08-13 Pages 205-222

Abstract Article

Andrzej Lopushansky, Halyna Lopushanska

Determination of a distribution in a source term of a time fractional diffusion-wave equation

08-14 Pages 223-232

Abstract Article

Jianwen Zhou, Yanning Wang, Yongkun Li

Existence of solutions for a class of fractional Hamiltonian systems with impulsive effects

08-15 Pages 233-253

Abstract Article

Marko Kostić

Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions

08-16 Pages 255-284

Abstract Article

Muhammad Uzair Awan, Muhammad Aslam Noor, Ting-Song Du, Khalida Inayat Noor

New φ-fractional estimates of Hermite-Hadamard type inequalities

08-17 Pages 285-297

Abstract Article

Rabah Khaldi, Assia Guezane-Lakoud

Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line

08-18 Pages 299-307

Abstract Article

Mohsen Timoumi

Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems

08-19 Pages 309-326

Abstract Article

Eze R. Nwaeze

Inequalities of the Hermite-Hadamard type for Quasi-convex functions via the (k,s)-Riemann-Liouville fractional integrals

08-20 Pages 327-336

Abstract Article

Artion Kashuri, Rozana Liko, Silvestru Sever Dragomir

Some new Hermite-Hadamard type inequalities via Caputo k-fractional derivatives concerning (n+1)-differentiable generalized relative semi-(r;m,h₁,h₂)-preinvex mappings

08-21 Pages 337-355

Abstract Article

Rui A. C. Ferreira

Addendum to “Some Discrete Fractional Lyapunov-type inequalities” [Fract. Differ. Calc. 5 (2015), no. 1, 87-92]

08-22 Pages 357-359

Abstract Article