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Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 5, pp. 1315 - 1326
Journal Article
Calcolo, ISSN 1126-5434, 2015, Volume 53, Issue 3, pp. 475 - 485
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 11
In current continuation, we have incorporated the notion of s−(α,m) $s- ( {\alpha,m} ) $-convex functions and have established new integral inequalities... 
Simpson’s inequality | 26A51 | 26D10 | Analysis | Mathematics, general | Mathematics | Convex functions | Applications of Mathematics | 26A15 | Power-mean inequality | Riemann–Liouville fractional integral | MATHEMATICS | MATHEMATICS, APPLIED | Riemann-Liouville fractional integral | DIFFERENTIABLE MAPPINGS | HERMITE-HADAMARD | Simpson's inequality | REAL NUMBERS
Journal Article
Mathematical and computer modelling, ISSN 0895-7177, 2013, Volume 57, Issue 9-10, pp. 2403 - 2407
In the present note, first we have established Hermite–Hadamard’s inequalities for fractional integrals... 
Hermite–Hadamard’s inequalities | Integral inequalities | Riemann–Liouville fractional integral | Riemann-Liouville fractional integral | Hermite-Hadamard's inequalities | MATHEMATICS, APPLIED
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 6/2014, Volume 17, Issue 2, pp. 361 - 370
A family of generalized Erdélyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional integral in terms of generalized Cassini ovaloids on R N... 
Abstract Harmonic Analysis | Erdélyi-Kober fractional integrals | fractional calculus | Functional Analysis | Analysis | Mathematics | Riesz fractional integrals | Integral Transforms, Operational Calculus | generalized fractional calculus | Cassini ovaloids | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Erdelyi-Kober fractional integrals | Physics - General Physics
Journal Article
Journal Article
Journal of King Saud University - Science, ISSN 1018-3647, 10/2019, Volume 31, Issue 4, pp. 692 - 700
This paper presents two approximate methods such as Quadratic and Cubic approximations for the Riemann-Liouville fractional integral and Caputo fractional derivatives... 
Quadratic scheme | Abel’s integral equations | Riemann-Liouville fractional integral | Cubic scheme | Caputo derivative | Abel's integral equations | NUMERICAL-SOLUTION | TRANSPORT | CALCULUS | MULTIDISCIPLINARY SCIENCES | SIMULATION
Journal Article
Journal of applied analysis, ISSN 1869-6082, 2018, Volume 24, Issue 2, pp. 211 - 221
In the present paper, the notion of generalized -preinvex Godunova–Levin function of second kind is introduced, and some new integral inequalities involving generalized -preinvex Godunova... 
Simpson type inequality | Hölder’s inequality | 26A51 | Ostrowski type inequality | 26D10 | 26A33 | Hermite–Hadamard inequality | fractional integral | 26D07 | 26D15 | Hölder's inequality | Hermite-Hadamard inequality
Journal Article
2016, Encyclopedia of mathematics and its applications, ISBN 1107111943, Volume 162, xvi, 383 pages
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal... 
Calculus | Fractional calculus
Book
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, 04/2019, Volume 113, Issue 2, pp. 399 - 422
In this paper we will investigate the concept of the q-integral p-variation introduced in 1970's by Terehin... 
MATHEMATICS | Integral variation | Nonlinear Hammerstein integral equation | 47H30 | Bounded variation | Superposition operator | Acting conditions | Fractional integral | Riemann-Liouville fractional integration | Primary 26A45 | Secondary 45G10 | 45G05
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 14
Journal Article
Indian journal of physics, ISSN 0974-9845, 2013, Volume 88, Issue 2, pp. 177 - 184
In this paper, fractional derivatives in the sense of modified Riemann-Liouville derivative and first integral method are applied for constructing exact solutions of nonlinear fractional generalized... 
Physics, general | Astrophysics and Astroparticles | Fractional generalized reaction duffing model | First integral method | Physics | Solitons | PHYSICS, MULTIDISCIPLINARY | SOLITON PERTURBATION-THEORY | KDV EQUATION | DIFFUSION | DE-VRIES EQUATION | EXPLICIT | Partial differential equations | Fractions
Journal Article
Optical and Quantum Electronics, ISSN 0306-8919, 2018, Volume 50, Issue 3
In this paper, we propose the first integral method (FIM) and the improved tan(1/2 phi(xi))-expansion method (ITEM) for solving the density-dependent conformable fractional diffusion-reaction equation... 
Improved tan(1/2 φ(ξ))-expansion method | First integral method | Density-dependent conformable fractional diffusion–reaction equation | Improved tan(1/2 phi(xi))-expansion Method | QUANTUM SCIENCE & TECHNOLOGY | OPTICS | Density-dependent conformable fractional diffusion-reaction equation | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2017, Volume 73, Issue 6, pp. 1346 - 1362
In this paper we consider a class of partial integro-differential equations of fractional order, motivated by an equation which arises as a result of modeling... 
Riemann–Liouville integral | Surface–volume reactions | Caputo fractional derivative | Fractional calculus | Abel integral equation | MATHEMATICS, APPLIED | SET | DIFFERENTIABILITY | GEOMETRIC INTERPRETATION | INTEGRODIFFERENTIAL CALCULUS | MODELS | DIFFUSION | Riemann-Liouville integral | DERIVATIVES | Surface-volume reactions
Journal Article
Applicable analysis, ISSN 1563-504X, 2013, Volume 93, Issue 9, pp. 1846 - 1862
In this paper, a general integral identity for twice differentiable functions is derived... 
Hermite-Hadamard inequality | Riemann-Liouville fractional integral | s-convex function | Simpson type inequalities | MATHEMATICS, APPLIED | Integrals | Estimates | Inequalities
Journal Article
Mechanics of Materials, ISSN 0167-6636, 03/2014, Volume 70, pp. 106 - 114
....•The suggested continuum equations describe fractional generalization of the gradient and integral elasticity... 
Non-local media | Fractional derivatives | Fractional gradient elasticity | Long-range interaction | Lattice model | MECHANICS | MATERIALS SCIENCE, MULTIDISCIPLINARY | DYNAMICS | Physics - Materials Science
Journal Article
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