The difference between Abstract and Conceptual

When used as adjectives, abstract means derived, whereas conceptual means of, or relating to concepts or mental conception.

Abstract is also noun with the meaning: an abridgement or summary of a longer publication.

Abstract is also verb with the meaning: to separate.

check bellow for the other definitions of Abstract and Conceptual

Abstract as a noun:

An abridgement or summary of a longer publication.
Abstract as a noun (medicine):

Something that concentrates in itself the qualities of a larger item, or multiple items. Concentrated essence of a product. A powdered solid extract of a medicinal substance mixed with lactose.
Abstract as a noun:

An abstraction; an abstract term; that which is abstract.
Abstract as a noun:

The theoretical way of looking at things; something that exists only in idealized form.
Abstract as a noun (arts):

An abstract work of art.
Abstract as a noun (real estate):

A summary title of the key points detailing a tract of land, for ownership; abstract of title.

Abstract as an adjective (obsolete):

Derived; extracted.
Abstract as an adjective (now, rare):

Drawn away; removed from; apart from; separate.
Abstract as an adjective:

Expressing a property or attribute separately of an object that is considered to be inherent to that object.
Abstract as an adjective:

Considered apart from any application to a particular object; not concrete; ideal; non-specific; general, as opposed to specific.
Abstract as an adjective:

Difficult to understand; abstruse; hard to conceptualize.
Abstract as an adjective (archaic):

Absent-minded.
Abstract as an adjective (arts):

Pertaining to the formal aspect of art, such as the lines, colors, shapes, and the relationships among them. Free from representational qualities, in particular the non-representational styles of the 20th century. Absolute. Lacking a story.
Abstract as an adjective:

Insufficiently factual.
Abstract as an adjective:

Apart from practice or reality; vague; theoretical; impersonal; not applied.
Abstract as an adjective (grammar):

As a noun, denoting an intangible as opposed to an object, place, or person.
Abstract as an adjective (computing):

Of a class in object-oriented programming, being a partial basis for subclasses rather than a complete template for objects.

Abstract as a verb (transitive):

To separate; to disengage.
Abstract as a verb (transitive):

To remove; to take away; withdraw.
Abstract as a verb (transitive, euphemistic):

To steal; to take away; to remove without permission.
Abstract as a verb (transitive):

To summarize; to abridge; to epitomize.

Examples:

"rfquotek Franklin"
Abstract as a verb (transitive, obsolete):

To extract by means of distillation.
Abstract as a verb (transitive):

To consider abstractly; to contemplate separately or by itself; to consider theoretically; to look at as a general quality.
Abstract as a verb (intransitive, reflexive, literally, figuratively):

To withdraw oneself; to retire.
Abstract as a verb (transitive):

To draw off (interest or attention).

Examples:

"He was wholly abstracted by other objects."
Abstract as a verb (intransitive, rare):

To perform the process of abstraction.
Abstract as a verb (intransitive, fine arts):

To create abstractions.
Abstract as a verb (intransitive, computing):

To produce an abstraction, usually by refactoring existing code. Generally used with "out".

Examples:

"He abstracted out the square root function."

Conceptual as an adjective:

Of, or relating to concepts or mental conception; existing in the imagination.

Examples:

"We defined a conceptual model before designing the real thing."
Conceptual as an adjective:

Of or relating to conceptualism.